Checking if two matrices are similar

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: ?

[Yue Wang]

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)

Answer 1

[JESUS DAVID ARIZA ROYETH]

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