Consider the following. A = −5 12 −2 5 , P = −2 −3 −1 −1 (a) Verify that A is diagonalizable by computing P−1AP. P−1AP = (b) Use the result of part (a) and the theorem below to find the eigenvalues of A. Similar Matrices Have the Same Eigenvalues If A and B are similar n × n matrices, then they have the same eigenvalues. (λ1, λ2) =
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