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    Linear Algebra - Proof of the characteristic polynomial for the inverse of A

    Homework Statement A is an nxn invertible matrix. Show that PA-1(x) = (\frac{(-x)^n}{det(A)}) *PA(1/X) Homework Equations det(AB) = det(A)det(B) The Attempt at a Solution Ok from what I understand this is the proof for the characteristic polynomial for the inverse of a...
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