How do I find the given eigenvectors

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 =

   1.0e+02 *

  Columns 1 through 5

   0.0000 + 2.7894i   0.0000 + 0.0000i   0.0000 + 0.0000i   0.0000 + 0.0000i   0.0000 + 0.0000i
   0.0000 + 0.0000i   0.0000 - 2.7894i   0.0000 + 0.0000i   0.0000 + 0.0000i   0.0000 + 0.0000i
   0.0000 + 0.0000i   0.0000 + 0.0000i  -0.0000 + 1.9015i   0.0000 + 0.0000i   0.0000 + 0.0000i
   0.0000 + 0.0000i   0.0000 + 0.0000i   0.0000 + 0.0000i  -0.0000 - 1.9015i   0.0000 + 0.0000i
   0.0000 + 0.0000i   0.0000 + 0.0000i   0.0000 + 0.0000i   0.0000 + 0.0000i  -0.0000 + 1.3474i
   0.0000 + 0.0000i   0.0000 + 0.0000i   0.0000 + 0.0000i   0.0000 + 0.0000i   0.0000 + 0.0000i
   0.0000 + 0.0000i   0.0000 + 0.0000i   0.0000 + 0.0000i   0.0000 + 0.0000i   0.0000 + 0.0000i
   0.0000 + 0.0000i   0.0000 + 0.0000i   0.0000 + 0.0000i   0.0000 + 0.0000i   0.0000 + 0.0000i

  Columns 6 through 8

   0.0000 + 0.0000i   0.0000 + 0.0000i   0.0000 + 0.0000i
   0.0000 + 0.0000i   0.0000 + 0.0000i   0.0000 + 0.0000i
   0.0000 + 0.0000i   0.0000 + 0.0000i   0.0000 + 0.0000i
   0.0000 + 0.0000i   0.0000 + 0.0000i   0.0000 + 0.0000i
   0.0000 + 0.0000i   0.0000 + 0.0000i   0.0000 + 0.0000i
  -0.0000 - 1.3474i   0.0000 + 0.0000i   0.0000 + 0.0000i
   0.0000 + 0.0000i  -0.0000 + 1.4094i   0.0000 + 0.0000i
   0.0000 + 0.0000i   0.0000 + 0.0000i  -0.0000 - 1.4094i
   
   ivect =

   1.0e+02 *

  Columns 1 through 5

   0.0100 + 0.0000i   0.0100 + 0.0000i   0.0100 + 0.0000i   0.0100 + 0.0000i   0.0100 + 0.0000i
   0.0000 - 0.0011i   0.0000 + 0.0767i   0.0000 - 0.0097i   0.0000 + 0.0112i   0.0000 + 0.0011i
   0.0000 - 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

   0.0100 + 0.0000i   0.0100 + 0.0000i   0.0100 + 0.0000i
   0.0000 - 0.0767i   0.0000 + 0.0097i   0.0000 - 0.0112i
   0.0000 - 0.0645i   0.0000 - 0.2500i   0.0000 + 1.0500i
   0.0183 + 0.0000i   0.2850 + 0.0000i   0.9660 + 0.0000i

Answer 1

[Athul Prakash]

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!