I have a matrix with 16 elements:
matrix = {{f1, -f2, -f2, f3 }, {f4, -f1, -f1, f2}, {f4, -f1, -f1, f2}, {f5, -f4, -f4, f1}}
I would like to calculate eigenvectors and eigenstates of the matrix, with additional assumption, that is elements f1, f2, f3, f4 and f5 are orthogonal. I've tried to call $Assumptions = f1*f2=f2*3 ... =0, but without luck. Any suggestions appreciated!
$Assumptions
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