{"id":8855,"date":"2026-04-15T22:16:51","date_gmt":"2026-04-15T13:16:51","guid":{"rendered":"https:\/\/now0930.pe.kr\/wordpress\/?p=8855"},"modified":"2026-10-04T11:41:37","modified_gmt":"2026-10-04T02:41:37","slug":"eigenvector-eigenvalue","status":"publish","type":"post","link":"https:\/\/now0930.pe.kr\/wordpress\/eigenvector-eigenvalue\/","title":{"rendered":"Eigenvector, Eigenvalue"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Postech \uc774\uc2b9\ucca0 \uad50\uc218, Natural Response 02 \ucc38\uc870<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"2193\" height=\"1332\" src=\"https:\/\/now0930.pe.kr\/wordpress\/wp-content\/uploads\/2026\/04\/image-31.png\" alt=\"\" class=\"wp-image-8911\" srcset=\"https:\/\/now0930.pe.kr\/wordpress\/wp-content\/uploads\/2026\/04\/image-31.png 2193w, https:\/\/now0930.pe.kr\/wordpress\/wp-content\/uploads\/2026\/04\/image-31-2048x1244.png 2048w, https:\/\/now0930.pe.kr\/wordpress\/wp-content\/uploads\/2026\/04\/image-31-768x466.png 768w, https:\/\/now0930.pe.kr\/wordpress\/wp-content\/uploads\/2026\/04\/image-31-1536x933.png 1536w\" sizes=\"auto, (max-width: 2193px) 100vw, 2193px\" \/><\/figure>\n\n\n\n<div data-wp-interactive=\"core\/file\" class=\"wp-block-file\"><object data-wp-bind--hidden=\"!state.hasPdfPreview\" hidden class=\"wp-block-file__embed\" data=\"https:\/\/now0930.pe.kr\/wordpress\/wp-content\/uploads\/2026\/04\/NeoStudio_20260415_221344_\uc0b0\uc5c5\uacc4\uce21\uc81c\uc5b4_\uae30\uc220\uc0ac_16_001.pdf\" type=\"application\/pdf\" style=\"width:100%;height:600px\" aria-label=\"NeoStudio_20260415_221344_\uc0b0\uc5c5\uacc4\uce21\uc81c\uc5b4_\uae30\uc220\uc0ac_16_001\uc758 \uc0bd\uc785.\"><\/object><a id=\"wp-block-file--media-7aec3d6b-680d-4884-862c-7d61f6eac8f5\" href=\"https:\/\/now0930.pe.kr\/wordpress\/wp-content\/uploads\/2026\/04\/NeoStudio_20260415_221344_\uc0b0\uc5c5\uacc4\uce21\uc81c\uc5b4_\uae30\uc220\uc0ac_16_001.pdf\">NeoStudio_20260415_221344_\uc0b0\uc5c5\uacc4\uce21\uc81c\uc5b4_\uae30\uc220\uc0ac_16_001<\/a><a href=\"https:\/\/now0930.pe.kr\/wordpress\/wp-content\/uploads\/2026\/04\/NeoStudio_20260415_221344_\uc0b0\uc5c5\uacc4\uce21\uc81c\uc5b4_\uae30\uc220\uc0ac_16_001.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-7aec3d6b-680d-4884-862c-7d61f6eac8f5\">\ub2e4\uc6b4\ub85c\ub4dc<\/a><\/div>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"773\" height=\"1280\" src=\"https:\/\/now0930.pe.kr\/wordpress\/wp-content\/uploads\/2026\/04\/image-32.png\" alt=\"\" class=\"wp-image-8916\" srcset=\"https:\/\/now0930.pe.kr\/wordpress\/wp-content\/uploads\/2026\/04\/image-32.png 773w, https:\/\/now0930.pe.kr\/wordpress\/wp-content\/uploads\/2026\/04\/image-32-768x1272.png 768w\" sizes=\"auto, (max-width: 773px) 100vw, 773px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"898\" height=\"1280\" src=\"https:\/\/now0930.pe.kr\/wordpress\/wp-content\/uploads\/2026\/04\/image-33.png\" alt=\"\" class=\"wp-image-8917\" srcset=\"https:\/\/now0930.pe.kr\/wordpress\/wp-content\/uploads\/2026\/04\/image-33.png 898w, https:\/\/now0930.pe.kr\/wordpress\/wp-content\/uploads\/2026\/04\/image-33-768x1095.png 768w\" sizes=\"auto, (max-width: 898px) 100vw, 898px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-embed is-type-wp-embed is-provider-now-0930 wp-block-embed-now-0930\"><div class=\"wp-block-embed__wrapper\">\n<blockquote class=\"wp-embedded-content\" data-secret=\"QT5khtuDNc\"><a href=\"https:\/\/now0930.pe.kr\/wordpress\/modal-canonical-form\/\">Modal Canonical Form<\/a><\/blockquote><iframe loading=\"lazy\" class=\"wp-embedded-content\" sandbox=\"allow-scripts\" security=\"restricted\" style=\"position: absolute; visibility: hidden;\" title=\"\u201cModal Canonical Form\u201d \u2014 now0930 \uc77c\uc9c0\" src=\"https:\/\/now0930.pe.kr\/wordpress\/modal-canonical-form\/embed\/#?secret=CYuyPi7lx2#?secret=QT5khtuDNc\" data-secret=\"QT5khtuDNc\" width=\"580\" height=\"327\" frameborder=\"0\" marginwidth=\"0\" marginheight=\"0\" scrolling=\"no\"><\/iframe>\n<\/div><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/blog.naver.com\/siri0831\/222241191918\">https:\/\/blog.naver.com\/siri0831\/222241191918<\/a><\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-wp-embed is-provider-now-0930 wp-block-embed-now-0930\"><div class=\"wp-block-embed__wrapper\">\n<blockquote class=\"wp-embedded-content\" data-secret=\"EkdpTUhnhN\"><a href=\"https:\/\/now0930.pe.kr\/wordpress\/state-space-%ec%98%88%ec%a0%9c-%ed%92%80%ec%9d%b4\/\">state space \uc608\uc81c \ud480\uc774<\/a><\/blockquote><iframe loading=\"lazy\" class=\"wp-embedded-content\" sandbox=\"allow-scripts\" security=\"restricted\" style=\"position: absolute; visibility: hidden;\" title=\"\u201cstate space \uc608\uc81c \ud480\uc774\u201d \u2014 now0930 \uc77c\uc9c0\" src=\"https:\/\/now0930.pe.kr\/wordpress\/state-space-%ec%98%88%ec%a0%9c-%ed%92%80%ec%9d%b4\/embed\/#?secret=p4VZUtZMte#?secret=EkdpTUhnhN\" data-secret=\"EkdpTUhnhN\" width=\"580\" height=\"327\" frameborder=\"0\" marginwidth=\"0\" marginheight=\"0\" scrolling=\"no\"><\/iframe>\n<\/div><\/figure>\n\n\n\n&#8220;`html\n<div class=\"chapter19-wide\">\n\n  <h1>Eigenvector \u00b7 Eigenvalue<\/h1>\n\n  <div class=\"subtitle\">\n    Eigenanalysis \u00b7 Natural Response \u00b7 Eigenvalue \u00b7 Eigenvector \u00b7 Diagonalization \u00b7 Similarity Transform \u00b7 Decoupling\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>1. Natural Response\uc758 \ucd9c\ubc1c\uc810<\/h2>\n\n  <div class=\"card\">\n\n    <p>\n      NeoStudio\uc5d0\uc11c\ub294 1\ucc28 \ubbf8\ubd84\ubc29\uc815\uc2dd\uc758 \ud574\uc5d0\uc11c \ucd9c\ubc1c\ud55c\ub2e4.\n    <\/p>\n\n    <div class=\"formula\">\n      u\u0307 = a u\n    <\/div>\n\n    <p>\n      \uc774 \uc2dd\uc758 \ud574\ub294\n    <\/p>\n\n    <div class=\"formula\">\n      u(t) = C\u2080 e<sup>at<\/sup>\n    <\/div>\n\n    <p>\n      \ud615\ud0dc\uc774\ub2e4.\n    <\/p>\n\n    <div class=\"memory\">\n      <strong>\n        Scalar 1\ucc28 \uc2dc\uc2a4\ud15c\uc758 \uc790\uc5f0\uc751\ub2f5\uc774\n        \uc9c0\uc218\ud568\uc218 \ud615\ud0dc\uc774\ubbc0\ub85c,\n        Vector \uc0c1\ud0dc\ubc29\uc815\uc2dd\ub3c4 \uac19\uc740 \ud615\ud0dc\uc758 \ud574\ub97c \uac00\uc815\ud55c\ub2e4.\n      <\/strong>\n    <\/div>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>2. Vector \uc0c1\ud0dc\ubc29\uc815\uc2dd<\/h2>\n\n  <div class=\"card\">\n\n    <p>\n      Scalar u\ub97c Vector\ub85c \ud655\uc7a5\ud558\uba74\n      \uc0c1\ud0dc\ubc29\uc815\uc2dd\uc740 \ub2e4\uc74c\uacfc \uac19\uc774 \uae30\ub85d\ud55c\ub2e4.\n    <\/p>\n\n    <div class=\"formula\">\n      u\u0307 = A u\n    <\/div>\n\n    <p>\n      \uc5ec\uae30\uc11c A\ub294 Matrix\uc774\uace0,\n      u\ub294 Vector\uc774\ub2e4.\n    <\/p>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>3. \uc9c0\uc218\ud568\uc218 \ud615\ud0dc\uc758 \ud574 \uac00\uc815<\/h2>\n\n  <div class=\"card\">\n\n    <p>\n      NeoStudio\uc5d0\uc11c\ub294 Vector \ud574\ub97c\n      \ub2e4\uc74c \ud615\ud0dc\ub85c \uac00\uc815\ud55c\ub2e4.\n    <\/p>\n\n    <div class=\"formula\">\n      u(t)\n      =\n      x e<sup>\u03bbt<\/sup>\n    <\/div>\n\n    <ul>\n      <li>x : Vector<\/li>\n      <li>\u03bb : Scalar<\/li>\n    <\/ul>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>4. Eigenvalue Problem \uc720\ub3c4<\/h2>\n\n  <div class=\"card\">\n\n    <p>\n      \uac00\uc815\ud55c \ud574\ub97c \ubbf8\ubd84\ud558\uba74\n    <\/p>\n\n    <div class=\"formula\">\n      u\u0307\n      =\n      \u03bb x e<sup>\u03bbt<\/sup>\n    <\/div>\n\n    <p>\n      \ud55c\ud3b8 \uc0c1\ud0dc\ubc29\uc815\uc2dd\uc73c\ub85c\ubd80\ud130\n    <\/p>\n\n    <div class=\"formula\">\n      u\u0307\n      =\n      A x e<sup>\u03bbt<\/sup>\n    <\/div>\n\n    <p>\n      \uc774\ubbc0\ub85c \uacf5\ud1b5 \uc9c0\uc218\ud56d\uc744 \uc81c\uac70\ud558\uba74\n    <\/p>\n\n    <div class=\"formula\">\n      A x\n      =\n      \u03bb x\n    <\/div>\n\n    <div class=\"memory\">\n      <strong>\n        Ax = \u03bbx\ub97c \ub9cc\uc871\ud558\ub294\n        \u03bb\uac00 Eigenvalue,\n        x\uac00 Eigenvector\uc774\ub2e4.\n      <\/strong>\n    <\/div>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>5. Eigenvalue \u00b7 Eigenvector<\/h2>\n\n  <div class=\"card\">\n\n    <div class=\"formula\">\n      A x<sub>1<\/sub>\n      =\n      \u03bb<sub>1<\/sub>x<sub>1<\/sub>\n    <\/div>\n\n    <div class=\"formula\">\n      A x<sub>2<\/sub>\n      =\n      \u03bb<sub>2<\/sub>x<sub>2<\/sub>\n    <\/div>\n\n    <ul>\n      <li>\u03bb\u2081, \u03bb\u2082 : Eigenvalues<\/li>\n      <li>x\u2081, x\u2082 : Eigenvectors<\/li>\n    <\/ul>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>6. Eigenvector\ub97c Matrix\ub85c \ubb36\uae30<\/h2>\n\n  <div class=\"card\">\n\n    <p>\n      \ub450 Eigenvector\ub97c Column Vector\ub85c \ub098\ub780\ud788 \ubc30\uce58\ud55c\ub2e4.\n    <\/p>\n\n    <div class=\"formula\">\n      S\n      =\n      [\n      x<sub>1<\/sub>\n      &nbsp;\n      x<sub>2<\/sub>\n      ]\n    <\/div>\n\n    <p>\n      \uc6d0\ubcf8\uc5d0\uc11c\ub294 S\ub97c\n      Eigenvector Matrix\ub85c \uae30\ub85d\ud55c\ub2e4.\n    <\/p>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>7. Eigenvalue\ub97c Diagonal Matrix\ub85c \ubb36\uae30<\/h2>\n\n  <div class=\"card\">\n\n    <p>\n      \uac01\uac01\uc758 Eigenvalue\ub97c \ub300\uac01\uc131\ubd84\uc73c\ub85c \ubc30\uce58\ud55c\ub2e4.\n    <\/p>\n\n    <div class=\"formula\">\n      D\n      =\n      [\n      \u03bb<sub>1<\/sub> &nbsp; 0\n      ;\n      0 &nbsp; \u03bb<sub>2<\/sub>\n      ]\n    <\/div>\n\n    <p>\n      \uc77c\ubc18 \uc774\ubbf8\uc9c0\uc5d0\uc11c\ub294 \uc774 \ud589\ub82c\uc744 \u039b\ub85c\ub3c4 \ud45c\uc2dc\ud55c\ub2e4.\n    <\/p>\n\n    <div class=\"formula\">\n      D \u2261 \u039b\n    <\/div>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>8. AS = SD<\/h2>\n\n  <div class=\"card\">\n\n    <p>\n      \ub450 Eigenvalue \uad00\uacc4\ub97c \ub3d9\uc2dc\uc5d0 \uc4f0\uba74\n    <\/p>\n\n    <div class=\"formula\">\n      A\n      [\n      x<sub>1<\/sub>\n      &nbsp;\n      x<sub>2<\/sub>\n      ]\n      =\n      [\n      \u03bb<sub>1<\/sub>x<sub>1<\/sub>\n      &nbsp;\n      \u03bb<sub>2<\/sub>x<sub>2<\/sub>\n      ]\n    <\/div>\n\n    <p>\n      \uadf8\ub9ac\uace0\n    <\/p>\n\n    <div class=\"formula\">\n      [\n      \u03bb<sub>1<\/sub>x<sub>1<\/sub>\n      &nbsp;\n      \u03bb<sub>2<\/sub>x<sub>2<\/sub>\n      ]\n      =\n      [\n      x<sub>1<\/sub>\n      &nbsp;\n      x<sub>2<\/sub>\n      ]\n      [\n      \u03bb<sub>1<\/sub> &nbsp; 0\n      ;\n      0 &nbsp; \u03bb<sub>2<\/sub>\n      ]\n    <\/div>\n\n    <p>\n      \ub530\ub77c\uc11c\n    <\/p>\n\n    <div class=\"formula\">\n      A S = S D\n    <\/div>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>9. Similarity Transform \u00b7 Diagonalization<\/h2>\n\n  <div class=\"card\">\n\n    <p>\n      AS = SD\uc758 \uc67c\ucabd\uc5d0\n      S<sup>-1<\/sup>\uc744 \uacf1\ud558\uba74\n    <\/p>\n\n    <div class=\"formula\">\n      S<sup>-1<\/sup> A S\n      =\n      D\n    <\/div>\n\n    <p>\n      \ubc18\ub300\ub85c A\ub97c \ud45c\ud604\ud558\uba74\n    <\/p>\n\n    <div class=\"formula\">\n      A\n      =\n      S D S<sup>-1<\/sup>\n    <\/div>\n\n    <div class=\"memory\">\n      <strong>\n        Eigenvector Matrix S\ub97c \uc774\uc6a9\ud558\uba74\n        A\ub97c Eigenvalue\ub9cc \uc788\ub294\n        Diagonal Matrix D\ub85c \ubcc0\ud658\ud560 \uc218 \uc788\ub2e4.\n      <\/strong>\n    <\/div>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>10. \uc77c\ubc18 \uc774\ubbf8\uc9c0\uc758 Eigenanalysis \uc815\ub9ac<\/h2>\n\n  <div class=\"card\">\n\n    <p>\n      \uac15\uc758 \ucea1\ucc98 \uc774\ubbf8\uc9c0\uc5d0\uc11c\ub3c4 \uac19\uc740 \uad00\uacc4\ub97c \uc815\ub9ac\ud55c\ub2e4.\n    <\/p>\n\n    <div class=\"formula\">\n      A x\u2081 = \u03bb\u2081x\u2081\n    <\/div>\n\n    <div class=\"formula\">\n      A x\u2082 = \u03bb\u2082x\u2082\n    <\/div>\n\n    <div class=\"formula\">\n      S = [x\u2081 &nbsp; x\u2082]\n    <\/div>\n\n    <div class=\"formula\">\n      \u039b =\n      [\n      \u03bb\u2081 &nbsp; 0\n      ;\n      0 &nbsp; \u03bb\u2082\n      ]\n    <\/div>\n\n    <div class=\"formula\">\n      AS = S\u039b\n    <\/div>\n\n    <div class=\"formula\">\n      \u039b = S<sup>-1<\/sup>AS\n    <\/div>\n\n    <div class=\"formula\">\n      A = S\u039bS<sup>-1<\/sup>\n    <\/div>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>11. \uc608\uc81c Matrix<\/h2>\n\n  <div class=\"card\">\n\n    <p>\n      \uc190\ud544\uae30 \uc774\ubbf8\uc9c0\ub294 \ub2e4\uc74c Matrix\ub97c \uc608\uc81c\ub85c \uc0ac\uc6a9\ud55c\ub2e4.\n    <\/p>\n\n    <div class=\"formula\">\n      A\n      =\n      [\n      1 &nbsp; 2\n      ;\n      3 &nbsp; 0\n      ]\n    <\/div>\n\n    <p>\n      \uc6d0\ubcf8\uc5d0 \uae30\ub85d\ub41c Eigenvalue\ub294\n    <\/p>\n\n    <div class=\"formula\">\n      \u03bb\u2081 = -2\n    <\/div>\n\n    <div class=\"formula\">\n      \u03bb\u2082 = 3\n    <\/div>\n\n    <p>\n      \uc774\ub2e4.\n    <\/p>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>12. \u03bb\u2081 = -2\uc758 Eigenvector<\/h2>\n\n  <div class=\"card\">\n\n    <p>\n      Eigenvector\ub294\n      \ub2e4\uc74c \uc2dd\uc73c\ub85c \uad6c\ud55c\ub2e4.\n    <\/p>\n\n    <div class=\"formula\">\n      (A &#8211; \u03bbI)x\n      =\n      0\n    <\/div>\n\n    <p>\n      \u03bb\u2081 = -2\ub97c \ub300\uc785\ud558\uba74\n    <\/p>\n\n    <div class=\"formula\">\n      A + 2I\n      =\n      [\n      3 &nbsp; 2\n      ;\n      3 &nbsp; 2\n      ]\n    <\/div>\n\n    <p>\n      \ub530\ub77c\uc11c\n    <\/p>\n\n    <div class=\"formula\">\n      3x<sub>11<\/sub>\n      +\n      2x<sub>12<\/sub>\n      =\n      0\n    <\/div>\n\n    <p>\n      \uc6d0\ubcf8\uc5d0\uc11c\ub294 \ub2e4\uc74c Eigenvector\ub97c \uc120\ud0dd\ud55c\ub2e4.\n    <\/p>\n\n    <div class=\"formula\">\n      x\u2081\n      =\n      [\n      2\n      ;\n      -3\n      ]\n    <\/div>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>13. \u03bb\u2082 = 3\uc758 Eigenvector<\/h2>\n\n  <div class=\"card\">\n\n    <p>\n      \u03bb\u2082 = 3\uc744 \ub300\uc785\ud558\uba74\n    <\/p>\n\n    <div class=\"formula\">\n      A &#8211; 3I\n      =\n      [\n      -2 &nbsp; 2\n      ;\n      3 &nbsp; -3\n      ]\n    <\/div>\n\n    <p>\n      \ub530\ub77c\uc11c\n    <\/p>\n\n    <div class=\"formula\">\n      -2x<sub>21<\/sub>\n      +\n      2x<sub>22<\/sub>\n      =\n      0\n    <\/div>\n\n    <div class=\"formula\">\n      x<sub>21<\/sub>\n      =\n      x<sub>22<\/sub>\n    <\/div>\n\n    <p>\n      \uc6d0\ubcf8\uc5d0\uc11c\ub294\n    <\/p>\n\n    <div class=\"formula\">\n      x\u2082\n      =\n      [\n      1\n      ;\n      1\n      ]\n    <\/div>\n\n    <p>\n      \uc744 \uc120\ud0dd\ud55c\ub2e4.\n    <\/p>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>14. \uc608\uc81c\uc758 Eigenvector Matrix<\/h2>\n\n  <div class=\"card\">\n\n    <p>\n      \ub450 Eigenvector\ub97c Column\uc73c\ub85c \ubb36\uc73c\uba74\n    <\/p>\n\n    <div class=\"formula\">\n      S\n      =\n      [\n      2 &nbsp; 1\n      ;\n      -3 &nbsp; 1\n      ]\n    <\/div>\n\n    <p>\n      \uc774\ub2e4.\n    <\/p>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>15. \uc608\uc81c\uc758 Diagonal Matrix<\/h2>\n\n  <div class=\"card\">\n\n    <div class=\"formula\">\n      D\n      =\n      [\n      -2 &nbsp; 0\n      ;\n      0 &nbsp; 3\n      ]\n    <\/div>\n\n    <p>\n      \uc6d0\ubcf8 \uc190\uacc4\uc0b0\uc5d0\uc11c\ub294\n      S<sup>-1<\/sup>AS\ub97c \uc9c1\uc811 \uacc4\uc0b0\ud558\uc5ec\n      \ub300\uac01\ud589\ub82c D\uac00 \ub418\ub294 \uac83\uc744 \ud655\uc778\ud55c\ub2e4.\n    <\/p>\n\n    <div class=\"formula\">\n      S<sup>-1<\/sup>AS\n      =\n      [\n      -2 &nbsp; 0\n      ;\n      0 &nbsp; 3\n      ]\n    <\/div>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>16. \uc65c Diagonalization\uc744 \ud558\ub294\uac00<\/h2>\n\n  <div class=\"card\">\n\n    <p>\n      NeoStudio\uc5d0\uc11c\ub294 \uc6d0\ub798 \uc0c1\ud0dc\ubc29\uc815\uc2dd\n    <\/p>\n\n    <div class=\"formula\">\n      u\u0307 = A u\n    <\/div>\n\n    <p>\n      \uc758 \uc0c1\ud0dc\ub4e4\uc774 \uc11c\ub85c Coupled\ub418\uc5b4 \uc788\uc73c\ubbc0\ub85c,\n      Eigenvector Matrix\ub97c \uc774\uc6a9\ud558\uc5ec\n      Decoupled \ud615\ud0dc\ub85c \ubc14\uafb8\ub294 \uacfc\uc815\uc744 \uae30\ub85d\ud55c\ub2e4.\n    <\/p>\n\n    <div class=\"formula\">\n      u = S v\n    <\/div>\n\n    <div class=\"memory\">\n      <strong>\n        \uc88c\ud45c\ub97c Eigenvector \ubc29\ud5a5\uc73c\ub85c \ubc14\uafb8\uba74\n        \uc11c\ub85c \uacb0\ud569\ub41c \uc0c1\ud0dc\ubc29\uc815\uc2dd\uc744\n        \uac01 Eigenvalue\uc5d0 \ub300\uc751\ud558\ub294\n        \ub3c5\ub9bd\uc801\uc778 Mode\ub85c \ubd84\ub9ac\ud560 \uc218 \uc788\ub2e4.\n      <\/strong>\n    <\/div>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>17. Coordinate Transform<\/h2>\n\n  <div class=\"card\">\n\n    <p>\n      \uc0c8\ub85c\uc6b4 \uc88c\ud45c v\ub97c\n      \ub2e4\uc74c \uad00\uacc4\ub85c \uc815\uc758\ud55c\ub2e4.\n    <\/p>\n\n    <div class=\"formula\">\n      u = S v\n    <\/div>\n\n    <p>\n      \ubbf8\ubd84\ud558\uba74\n    <\/p>\n\n    <div class=\"formula\">\n      u\u0307\n      =\n      S v\u0307\n    <\/div>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>18. Decoupled System \uc720\ub3c4<\/h2>\n\n  <div class=\"card\">\n\n    <p>\n      \uc6d0\ub798 \uc2dd\n    <\/p>\n\n    <div class=\"formula\">\n      u\u0307 = A u\n    <\/div>\n\n    <p>\n      \uc5d0 u=Sv\ub97c \ub300\uc785\ud558\uba74\n    <\/p>\n\n    <div class=\"formula\">\n      S v\u0307\n      =\n      A S v\n    <\/div>\n\n    <p>\n      \uc591\ubcc0\uc5d0 S<sup>-1<\/sup>\uc744 \uacf1\ud558\uba74\n    <\/p>\n\n    <div class=\"formula\">\n      v\u0307\n      =\n      S<sup>-1<\/sup>A S v\n    <\/div>\n\n    <p>\n      \uadf8\ub9ac\uace0\n    <\/p>\n\n    <div class=\"formula\">\n      S<sup>-1<\/sup>A S\n      =\n      D\n    <\/div>\n\n    <p>\n      \uc774\ubbc0\ub85c\n    <\/p>\n\n    <div class=\"formula\">\n      v\u0307\n      =\n      D v\n    <\/div>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>19. Diagonal System<\/h2>\n\n  <div class=\"card\">\n\n    <p>\n      D\uac00 Diagonal Matrix\uc774\ubbc0\ub85c\n      \uc0c1\ud0dc\ubc29\uc815\uc2dd\uc740 \uac01\uac01 \ub3c5\ub9bd\uc801\uc73c\ub85c \ubd84\ub9ac\ub41c\ub2e4.\n    <\/p>\n\n    <div class=\"formula\">\n      [\n      v\u0307\u2081\n      ;\n      v\u0307\u2082\n      ]\n      =\n      [\n      \u03bb\u2081 &nbsp; 0\n      ;\n      0 &nbsp; \u03bb\u2082\n      ]\n      [\n      v\u2081\n      ;\n      v\u2082\n      ]\n    <\/div>\n\n    <p>\n      \ub530\ub77c\uc11c\n    <\/p>\n\n    <div class=\"formula\">\n      v\u0307\u2081 = \u03bb\u2081v\u2081\n    <\/div>\n\n    <div class=\"formula\">\n      v\u0307\u2082 = \u03bb\u2082v\u2082\n    <\/div>\n\n    <div class=\"memory\">\n      <strong>\n        Coupled System\uc774\n        \ub450 \uac1c\uc758 \ub3c5\ub9bd\uc801\uc778 1\ucc28 \uc2dc\uc2a4\ud15c\uc73c\ub85c \ubcc0\ud658\ub41c\ub2e4.\n      <\/strong>\n    <\/div>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>20. \uac01 Mode\uc758 \uc790\uc5f0\uc751\ub2f5<\/h2>\n\n  <div class=\"card\">\n\n    <p>\n      \uac01 \uc2dd\uc740 Scalar 1\ucc28 \ubbf8\ubd84\ubc29\uc815\uc2dd\uc774\ubbc0\ub85c\n      \ud574\ub294 \uc9c0\uc218\ud568\uc218 \ud615\ud0dc\uc774\ub2e4.\n    <\/p>\n\n    <div class=\"formula\">\n      v\u2081(t)\n      =\n      v\u2081(0)e<sup>\u03bb\u2081t<\/sup>\n    <\/div>\n\n    <div class=\"formula\">\n      v\u2082(t)\n      =\n      v\u2082(0)e<sup>\u03bb\u2082t<\/sup>\n    <\/div>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>21. \uc6d0\ub798 \uc88c\ud45c\uc758 Natural Response<\/h2>\n\n  <div class=\"card\">\n\n    <p>\n      u=Sv\ub97c \uc774\uc6a9\ud558\uc5ec\n      \ub2e4\uc2dc \uc6d0\ub798 \uc88c\ud45c\ub85c \ubcc0\ud658\ud55c\ub2e4.\n    <\/p>\n\n    <div class=\"formula\">\n      u(t)\n      =\n      [\n      x\u2081\n      &nbsp;\n      x\u2082\n      ]\n      [\n      v\u2081(0)e<sup>\u03bb\u2081t<\/sup>\n      ;\n      v\u2082(0)e<sup>\u03bb\u2082t<\/sup>\n      ]\n    <\/div>\n\n    <p>\n      \ub530\ub77c\uc11c\n    <\/p>\n\n    <div class=\"formula\">\n      u(t)\n      =\n      x\u2081v\u2081(0)e<sup>\u03bb\u2081t<\/sup>\n      +\n      x\u2082v\u2082(0)e<sup>\u03bb\u2082t<\/sup>\n    <\/div>\n\n    <div class=\"memory\">\n      <strong>\n        \uc804\uccb4 \uc790\uc5f0\uc751\ub2f5\uc740\n        \uac01 Eigenvalue\uc5d0 \ub530\ub978 \uc9c0\uc218\uc751\ub2f5\uacfc\n        \uadf8 Eigenvector \ubc29\ud5a5\uc744 \ud569\ud55c \ud615\ud0dc\uc774\ub2e4.\n      <\/strong>\n    <\/div>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>22. Eigenvalue\uc640 Natural Response<\/h2>\n\n  <div class=\"card\">\n\n    <pre>\n              State Equation\n                 u\u0307 = Au\n                    \u2502\n                    \u25bc\n           u = x e^(\u03bbt) \uac00\uc815\n                    \u2502\n                    \u25bc\n               Ax = \u03bbx\n                    \u2502\n          \u250c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2510\n          \u25bc                   \u25bc\n      Eigenvalue \u03bb        Eigenvector x\n          \u2502                   \u2502\n          \u2514\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2518\n                    \u25bc\n           Eigenvector Matrix S\n                    \u2502\n                    \u25bc\n             S^-1 A S = D\n                    \u2502\n                    \u25bc\n                 u = Sv\n                    \u2502\n                    \u25bc\n                v\u0307 = Dv\n                    \u2502\n          \u250c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2510\n          \u25bc                   \u25bc\n      v\u03071=\u03bb1v1            v\u03072=\u03bb2v2\n          \u2502                   \u2502\n          \u25bc                   \u25bc\n    v1(0)e^(\u03bb1t)       v2(0)e^(\u03bb2t)\n          \u2514\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2518\n                    \u25bc\n         u(t)=x1v1(0)e^(\u03bb1t)\n             +x2v2(0)e^(\u03bb2t)\n    <\/pre>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>23. Eigenvalue \u00b7 Eigenvector\uc758 \uc5ed\ud560<\/h2>\n\n  <div class=\"table-wrap\">\n\n    <table>\n\n      <thead>\n        <tr>\n          <th>\ud56d\ubaa9<\/th>\n          <th>\uc6d0\ubcf8\uc5d0\uc11c\uc758 \uc5ed\ud560<\/th>\n        <\/tr>\n      <\/thead>\n\n      <tbody>\n\n        <tr>\n          <td><strong>Eigenvalue \u03bb<\/strong><\/td>\n          <td>\uac01 Mode\uc758 e<sup>\u03bbt<\/sup> \uc2dc\uac04\uc751\ub2f5\uc744 \uacb0\uc815<\/td>\n        <\/tr>\n\n        <tr>\n          <td><strong>Eigenvector x<\/strong><\/td>\n          <td>\uac01 Mode\uac00 \ub098\ud0c0\ub098\ub294 Vector \ubc29\ud5a5<\/td>\n        <\/tr>\n\n        <tr>\n          <td><strong>S<\/strong><\/td>\n          <td>Eigenvector\ub97c Column\uc73c\ub85c \ubb36\uc740 Matrix<\/td>\n        <\/tr>\n\n        <tr>\n          <td><strong>D \ub610\ub294 \u039b<\/strong><\/td>\n          <td>Eigenvalue\ub97c \ubc30\uce58\ud55c Diagonal Matrix<\/td>\n        <\/tr>\n\n        <tr>\n          <td><strong>S\u207b\u00b9AS=D<\/strong><\/td>\n          <td>\uc6d0\ub798 Matrix A\ub97c Diagonal \ud615\ud0dc\ub85c \ubcc0\ud658<\/td>\n        <\/tr>\n\n        <tr>\n          <td><strong>u=Sv<\/strong><\/td>\n          <td>Coupled \uc88c\ud45c\ub97c Eigenvector \uc88c\ud45c\ub85c \ubcc0\ud658<\/td>\n        <\/tr>\n\n        <tr>\n          <td><strong>v\u0307=Dv<\/strong><\/td>\n          <td>\uac01 Mode\ub97c \ub3c5\ub9bd\uc801\uc778 1\ucc28 \ubc29\uc815\uc2dd\uc73c\ub85c \ubd84\ub9ac<\/td>\n        <\/tr>\n\n      <\/tbody>\n\n    <\/table>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>24. \uc774\ubbf8\uc9c0 \u00b7 NeoStudio \ud575\uc2ec \uc815\ub9ac<\/h2>\n\n  <div class=\"table-wrap\">\n\n    <table>\n\n      <thead>\n        <tr>\n          <th>\ud56d\ubaa9<\/th>\n          <th>\uc6d0\ubcf8 \ub0b4\uc6a9<\/th>\n        <\/tr>\n      <\/thead>\n\n      <tbody>\n\n        <tr>\n          <td><strong>State Equation<\/strong><\/td>\n          <td>u\u0307 = Au<\/td>\n        <\/tr>\n\n        <tr>\n          <td><strong>\uac00\uc815\ud574<\/strong><\/td>\n          <td>u = x e<sup>\u03bbt<\/sup><\/td>\n        <\/tr>\n\n        <tr>\n          <td><strong>Eigenvalue Problem<\/strong><\/td>\n          <td>Ax = \u03bbx<\/td>\n        <\/tr>\n\n        <tr>\n          <td><strong>Eigenvector Matrix<\/strong><\/td>\n          <td>S=[x\u2081 x\u2082]<\/td>\n        <\/tr>\n\n        <tr>\n          <td><strong>Diagonal Matrix<\/strong><\/td>\n          <td>D=diag(\u03bb\u2081,\u03bb\u2082)<\/td>\n        <\/tr>\n\n        <tr>\n          <td><strong>\uad00\uacc4<\/strong><\/td>\n          <td>AS=SD<\/td>\n        <\/tr>\n\n        <tr>\n          <td><strong>Diagonalization<\/strong><\/td>\n          <td>D=S\u207b\u00b9AS<\/td>\n        <\/tr>\n\n        <tr>\n          <td><strong>\uc5ed\ubcc0\ud658<\/strong><\/td>\n          <td>A=SDS\u207b\u00b9<\/td>\n        <\/tr>\n\n        <tr>\n          <td><strong>\uc608\uc81c A<\/strong><\/td>\n          <td>[1 2; 3 0]<\/td>\n        <\/tr>\n\n        <tr>\n          <td><strong>\uc608\uc81c Eigenvalues<\/strong><\/td>\n          <td>\u03bb\u2081=-2, \u03bb\u2082=3<\/td>\n        <\/tr>\n\n        <tr>\n          <td><strong>\uc608\uc81c Eigenvectors<\/strong><\/td>\n          <td>x\u2081=[2 -3]\u1d40, x\u2082=[1 1]\u1d40<\/td>\n        <\/tr>\n\n        <tr>\n          <td><strong>\uc608\uc81c S<\/strong><\/td>\n          <td>[2 1; -3 1]<\/td>\n        <\/tr>\n\n        <tr>\n          <td><strong>\uc608\uc81c D<\/strong><\/td>\n          <td>[-2 0; 0 3]<\/td>\n        <\/tr>\n\n        <tr>\n          <td><strong>Coordinate Transform<\/strong><\/td>\n          <td>u=Sv<\/td>\n        <\/tr>\n\n        <tr>\n          <td><strong>Decoupled System<\/strong><\/td>\n          <td>v\u0307=Dv<\/td>\n        <\/tr>\n\n        <tr>\n          <td><strong>Natural Response<\/strong><\/td>\n          <td>\u03a3 x\u1d62 v\u1d62(0)e<sup>\u03bb\u1d62t<\/sup><\/td>\n        <\/tr>\n\n      <\/tbody>\n\n    <\/table>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <div class=\"warning\">\n    <strong>\n      \uc774 HTML\uc740 WordPress \ud398\uc774\uc9c0 \ubcf8\ubb38\uc758\n      Postech \uac15\uc758 \uc124\uba85,\n      Modal Canonical Form \ub9c1\ud06c,\n      State Space \uc608\uc81c \ub9c1\ud06c,\n      Naver Blog\ub97c \uc0ac\uc6a9\ud558\uc9c0 \uc54a\uace0,\n      \uc77c\ubc18 \uc774\ubbf8\uc9c0 3\uc7a5\uacfc\n      NeoStudio PDF 1\uac1c(\ucd1d 3\ud398\uc774\uc9c0)\ub9cc\n      \uc2dc\uac01 \ud310\ub3c5\ud558\uc5ec \uc791\uc131\ud588\ub2e4.\n\n      NeoStudio PDF 1\ud398\uc774\uc9c0 \uc0c1\ub2e8\uc758\n      Sensitivity,\n      Closed-Loop Transfer Function \uad00\ub828 \uc2dd\uc740\n      \uc774\uc804 Feedback System \uc8fc\uc81c\uc758 \uc794\uc5ec \ud544\uae30\ub85c \ud310\ub2e8\ud558\uc5ec \uc81c\uc678\ud558\uace0,\n      Eigenvalue\/Eigenvector \ubd80\ubd84\ubd80\ud130 \ubc18\uc601\ud558\uc600\ub2e4.\n\n      PDF 1\ud398\uc774\uc9c0\ub294\n      u\u0307=Au\uc5d0 u=x e^(\u03bbt)\ub97c \ub300\uc785\ud558\uc5ec\n      Ax=\u03bbx\uc758 Eigenvalue Problem\uc744 \ub9cc\ub4dc\ub294 \uacfc\uc815\uc744 \uae30\ub85d\ud55c\ub2e4.\n\n      PDF 2\ud398\uc774\uc9c0\ub294\n      \uc5ec\ub7ec Eigenvector\uc640 Eigenvalue\ub97c\n      S\uc640 D\ub85c \ubb36\uc5b4\n      AS=SD,\n      D=S\u207b\u00b9AS,\n      A=SDS\u207b\u00b9\uc744 \uc720\ub3c4\ud55c\ub2e4.\n\n      PDF 3\ud398\uc774\uc9c0\ub294\n      u=Sv\uc758 \uc88c\ud45c\ubcc0\ud658\uc744 \uc0ac\uc6a9\ud558\uc5ec\n      Coupled System u\u0307=Au\ub97c\n      Decoupled System v\u0307=Dv\ub85c \ubcc0\ud658\ud558\uace0,\n      \uac01 Mode\uc758 \uc790\uc5f0\uc751\ub2f5\uc744\n      v_i(t)=v_i(0)e^(\u03bb_i t)\ub85c \uc815\ub9ac\ud55c\ub2e4.\n\n      \uc77c\ubc18 \uc774\ubbf8\uc9c0 1\uc7a5\uc740\n      \uac15\uc758 \ud654\uba74\uc758 Eigenanalysis \uad00\uacc4\n      Ax_i=\u03bb_i x_i,\n      AS=S\u039b,\n      \u039b=S\u207b\u00b9AS,\n      A=S\u039bS\u207b\u00b9\uc744 \ubcf4\uc5ec\uc900\ub2e4.\n\n      \uc77c\ubc18 \uc774\ubbf8\uc9c0 2~3\uc7a5\uc740\n      A=[1 2;3 0]\uc758 \uc608\uc81c\ub97c \uc774\uc6a9\ud558\uc5ec\n      \u03bb=-2,3,\n      x\u2081=[2,-3]\u1d40,\n      x\u2082=[1,1]\u1d40,\n      S=[2 1;-3 1],\n      S\u207b\u00b9AS=diag(-2,3)\uc744 \uacc4\uc0b0\ud55c\ub2e4.\n\n      Characteristic Polynomial\uc758\n      det(A-\u03bbI)=0 \uc804\uac1c \uacfc\uc815\uc740\n      \uc774\ubc88 \uc774\ubbf8\uc9c0\uc5d0\uc11c Eigenvalue \uacb0\uacfc\ub9cc \uc8fc\uc5b4\uc9c0\uace0\n      \uc138\ubd80 \uc804\uac1c\uac00 \uba85\ud655\ud788 \uae30\ub85d\ub418\uc5b4 \uc788\uc9c0 \uc54a\uc544\n      \uc678\ubd80 \uc120\ud615\ub300\uc218 \uc774\ub860\uc73c\ub85c \ucd94\uac00\ud558\uc9c0 \uc54a\uc558\ub2e4.\n\n      Jordan Form,\n      Generalized Eigenvector,\n      \ubcf5\uc18c Eigenvalue,\n      Stability \ud310\uc815 \ub4f1\uc758 \ub0b4\uc6a9\ub3c4\n      \uc774\ubc88 \uc6d0\ubcf8\uc5d0 \uc9c1\uc811 \uc804\uac1c\ub418\uc5b4 \uc788\uc9c0 \uc54a\uc544\n      \ucd94\uac00\ud558\uc9c0 \uc54a\uc558\ub2e4.\n    <\/strong>\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <div class=\"keywords\">\n    Eigenvalue,\n    Eigenvector,\n    Eigenanalysis,\n    Natural Response,\n    State Equation,\n    Eigenvector Matrix,\n    Diagonal Matrix,\n    Diagonalization,\n    Similarity Transform,\n    Modal Coordinate,\n    Decoupling,\n    Mode\n  <\/div>\n\n<\/div>\n&#8220;`\n","protected":false},"excerpt":{"rendered":"<p>Postech \uc774\uc2b9\ucca0 \uad50\uc218, Natural Response 02 \ucc38\uc870 https:\/\/blog.naver.com\/siri0831\/222241191918 &#8220;`html Eigenvector \u00b7 Eigenvalue Eigenanalysis \u00b7 Natural Response \u00b7 Eigenvalue \u00b7 Eigenvector \u00b7 Diagonalization \u00b7 Similarity Transform \u00b7 Decoupling 1. Natural Response\uc758 \ucd9c\ubc1c\uc810 NeoStudio\uc5d0\uc11c\ub294 1\ucc28 \ubbf8\ubd84\ubc29\uc815\uc2dd\uc758 \ud574\uc5d0\uc11c \ucd9c\ubc1c\ud55c\ub2e4. u\u0307 = a u \uc774 \uc2dd\uc758 \ud574\ub294 u(t) = C\u2080 eat \ud615\ud0dc\uc774\ub2e4. Scalar 1\ucc28 \uc2dc\uc2a4\ud15c\uc758 \uc790\uc5f0\uc751\ub2f5\uc774 \uc9c0\uc218\ud568\uc218 \ud615\ud0dc\uc774\ubbc0\ub85c, Vector [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_feature_clip_id":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_post_was_ever_published":false},"categories":[1185],"tags":[1948,1211,1212,1937,1949],"class_list":["post-8855","post","type-post","status-publish","format-standard","hentry","category-1185","tag-eigenanalysis","tag-eigenvalue","tag-eigenvector","tag-natural-response","tag-similarity-matrix"],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/now0930.pe.kr\/wordpress\/wp-json\/wp\/v2\/posts\/8855","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/now0930.pe.kr\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/now0930.pe.kr\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/now0930.pe.kr\/wordpress\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/now0930.pe.kr\/wordpress\/wp-json\/wp\/v2\/comments?post=8855"}],"version-history":[{"count":4,"href":"https:\/\/now0930.pe.kr\/wordpress\/wp-json\/wp\/v2\/posts\/8855\/revisions"}],"predecessor-version":[{"id":9731,"href":"https:\/\/now0930.pe.kr\/wordpress\/wp-json\/wp\/v2\/posts\/8855\/revisions\/9731"}],"wp:attachment":[{"href":"https:\/\/now0930.pe.kr\/wordpress\/wp-json\/wp\/v2\/media?parent=8855"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/now0930.pe.kr\/wordpress\/wp-json\/wp\/v2\/categories?post=8855"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/now0930.pe.kr\/wordpress\/wp-json\/wp\/v2\/tags?post=8855"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}