Opps sorry, i saw the instruction after i post
My only step can do is prove that det(A) =det(B)
But I found that det(tI-A) ≠det(tI-B) if i only know det(A) =det(B)
So i think i went to a wrong direction
I was thinking in diagonalization, but no idea
Thank you!
With square matrix B=P-1AP, prove det(tI-B)=det(tI-A)
thanks!!!
I have one more question:
If a matrix P can be expressed as V-1CV
must C be diagonal?
thanks!
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