Checking if two matrices are similar

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Daniel Brower
Daniel Brower 2019년 12월 6일
댓글: Yue Wang 2022년 4월 29일
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: ?
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Yue Wang
Yue Wang 2022년 4월 29일
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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JESUS DAVID ARIZA ROYETH
JESUS DAVID ARIZA ROYETH 2019년 12월 7일
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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