Checking if two matrices are similar

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Daniel Brower
Daniel Brower on 6 Dec 2019
Commented: Yue Wang on 29 Apr 2022
How would I use Matlab to check if two matrices are similar. For example, for matrices A and B, both of dimension nxn, how do I check that the following is true: ?
  1 Comment
Yue Wang
Yue Wang on 29 Apr 2022
I think you can check if two matrices are similar by checking their Jordan canonical forms. If they have the same structure, then the two matrices are similar. To find the Jordan canonical form of a matrix, you can use the MATLAB function
[V,J] = jordan(A)

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Answers (1)

JESUS DAVID ARIZA ROYETH
JESUS DAVID ARIZA ROYETH on 7 Dec 2019
you can check with a tolerance:
tol=0.0001;%tolerance
if sqrt(sum(sum((B-S*A/inv(S)).^2)))<=tol
disp('It is true')
else
disp('It is false')
end

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