Solved: Proof Let B = P1AP, where A = [aij], P = [

Chapter 6, Problem 38

(choose chapter or problem)

Let \(B = P^{−1}AP\), where \(A = [a_{ij}], P = [ p_{ij}]\), and B is a diagonal matrix with main diagonal entries \(b_{11}, b_{22}, . . . , b_{nn}\). Prove that

for i = 1, 2, . . . , n.

Text Transcription:

B = P^−1AP

A = [a_ij], P = [p_ij]

b_11, b_22, . . ., b_nn

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