The eigenvalues of the matrix A =  1 3 4 2 are 55 and −2−2. For each real number ?, find the rank of the matrix ??−? =  x - 1 - 3 - 4 x - 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 80E
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The eigenvalues of the matrix

A = 

1 3
4 2

are 55 and −2−2. For each real number ?, find the rank of the matrix

??−? = 

x - 1 - 3
- 4 x - 2
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