Let be A R* for n E N, such that (In-A) is invertible, and P...

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Let be A € R"*" for n E N, such that (In-A) is invertible, and P a polynom in R[X]. 1. Prove that AP(A) = P(A)A. 2. Prove that A(In-A)-¹ = (In-A)-¹A. Let be A € R"*" for n E N, such that (In-A) is invertible, and P a polynom in R[X]. 1. Prove that AP(A) = P(A)A. 2. Prove that A(In-A)-¹ = (In-A)-¹A.

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sel Given InA is invertible O prove of AP A PAA Given In by p... View the full answer