How do I find the given eigenvectors

Question

kimi 2020-11-16

0
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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/650023-how-do-i-find-the-given-eigenvectors

回答： Athul Prakash 2020-11-19

Hello,

I have a 8x8 identity eigenvalue matrix (ss) and the answer 4x8 eigenvector matrix (ivect). I'm unsure of the process to get to the eigenvector matrix.

>> ss
ss =
0e+02 *
  Columns 1 through 5
0000 + 2.7894i   0.0000 + 0.0000i   0.0000 + 0.0000i   0.0000 + 0.0000i   0.0000 + 0.0000i
0000 + 0.0000i   0.0000 - 2.7894i   0.0000 + 0.0000i   0.0000 + 0.0000i   0.0000 + 0.0000i
0000 + 0.0000i   0.0000 + 0.0000i  -0.0000 + 1.9015i   0.0000 + 0.0000i   0.0000 + 0.0000i
0000 + 0.0000i   0.0000 + 0.0000i   0.0000 + 0.0000i  -0.0000 - 1.9015i   0.0000 + 0.0000i
0000 + 0.0000i   0.0000 + 0.0000i   0.0000 + 0.0000i   0.0000 + 0.0000i  -0.0000 + 1.3474i
0000 + 0.0000i   0.0000 + 0.0000i   0.0000 + 0.0000i   0.0000 + 0.0000i   0.0000 + 0.0000i
0000 + 0.0000i   0.0000 + 0.0000i   0.0000 + 0.0000i   0.0000 + 0.0000i   0.0000 + 0.0000i
0000 + 0.0000i   0.0000 + 0.0000i   0.0000 + 0.0000i   0.0000 + 0.0000i   0.0000 + 0.0000i
  Columns 6 through 8
0000 + 0.0000i   0.0000 + 0.0000i   0.0000 + 0.0000i
0000 + 0.0000i   0.0000 + 0.0000i   0.0000 + 0.0000i
0000 + 0.0000i   0.0000 + 0.0000i   0.0000 + 0.0000i
0000 + 0.0000i   0.0000 + 0.0000i   0.0000 + 0.0000i
0000 + 0.0000i   0.0000 + 0.0000i   0.0000 + 0.0000i
  -0.0000 - 1.3474i   0.0000 + 0.0000i   0.0000 + 0.0000i
0000 + 0.0000i  -0.0000 + 1.4094i   0.0000 + 0.0000i
0000 + 0.0000i   0.0000 + 0.0000i  -0.0000 - 1.4094i
   
   ivect =
0e+02 *
  Columns 1 through 5
0100 + 0.0000i   0.0100 + 0.0000i   0.0100 + 0.0000i   0.0100 + 0.0000i   0.0100 + 0.0000i
0000 - 0.0011i   0.0000 + 0.0767i   0.0000 - 0.0097i   0.0000 + 0.0112i   0.0000 + 0.0011i
0000 - 0.0040i   0.0000 + 0.0645i   0.0000 + 0.2500i   0.0000 - 1.0500i   0.0000 + 0.0040i
  -0.0097 + 0.0000i   0.0183 + 0.0000i   0.2850 + 0.0000i   0.9660 + 0.0000i  -0.0097 + 0.0000i
  Columns 6 through 8
0100 + 0.0000i   0.0100 + 0.0000i   0.0100 + 0.0000i
0000 - 0.0767i   0.0000 + 0.0097i   0.0000 - 0.0112i
0000 - 0.0645i   0.0000 - 0.2500i   0.0000 + 1.0500i
0183 + 0.0000i   0.2850 + 0.0000i   0.9660 + 0.0000i

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Answer 1

Athul Prakash 2020-11-19

0
链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/650023-how-do-i-find-the-given-eigenvectors#answer_549253

在 MATLAB Online 中打开

I presume that you've obtained these eigenvalues by calling the 'eig' function in MATLAB. You may try calling the same with a second output argument to obtain corresponding eigenvectors as well -

[A,B] = eig(m1);

I suggest going through the documentation of 'eig' for a fuller understanding, if requried - The exmaples, in particular, may be useful.

https://www.mathworks.com/help/matlab/ref/eig.html

Hope it Helps!