Matrix which columns form the eigenspace of the eigenvalue k of A?

I want to write a function EIGENSPACE, which takes a matrix A and a scalar k as argument and returns a matrix which columns form the eigenspace k of A.

A = [0,0,4;1,0,-17;0,1,8]

I guess I first have to write a function for row reductions and then identify the null-space from the (R)REF of A-k*eye(size(A)) OR something like this:

null(A-k*eye(size(A)), 'r')

Thanks in advance

Answer 1

[Siriniharika Katukam]

Hi

You may refer to this link:

https://www.mathworks.com/matlabcentral/answers/431729-matlab-doesn-t-allow-me-to-find-the-base-for-an-eigenspace-from-rref-form-although-it-gives-an-eigen?s_tid=answers_rc1-2_p2_MLT