Let A be a 3 × 3 matrix whose first row entries are a11 = 1, a12 = 2, and a13 = 3. Suppose 1 1 0 3 2 2 0 3 that and 2 are eigenvectors of A, and let P = Find (P-'AP)².

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.1: Eigenvalues And Eigenvectors
Problem 55E
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Let A be a 3×3 matrix whose first row entries are a11 = 1, a12 = 2, and a13 = 3.

Find (P−1AP)2.

Let A be a 3 × 3 matrix whose first row entries are a11 = 1, a12 = 2, and a13 = 3. Suppose
1 1 1
0 3 2
2 0 3
1
that |0
and 2
are eigenvectors of A, and let P =
2
Find (P-'AP)².
Transcribed Image Text:Let A be a 3 × 3 matrix whose first row entries are a11 = 1, a12 = 2, and a13 = 3. Suppose 1 1 1 0 3 2 2 0 3 1 that |0 and 2 are eigenvectors of A, and let P = 2 Find (P-'AP)².
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