3. Show that A and B are not similar matrices. [1 2 0 A = 0 1 -1.B [2 1 11 ,B= 0 1 0

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.4: Similarity And Diagonalization
Problem 50EQ
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3. Show that A and B are not similar matrices.
[1
2
[2
‚B = |0 1
[2 0
1
1°
A = |0
1
-1
lo -1
1
1.
4. Determine whether A is diagonalizable and, if so, find an invertible matrix P and a diagonal
matrix D such that P-'AP = D.
[1
A = |0
1
1
[1
1
0.
Transcribed Image Text:3. Show that A and B are not similar matrices. [1 2 [2 ‚B = |0 1 [2 0 1 1° A = |0 1 -1 lo -1 1 1. 4. Determine whether A is diagonalizable and, if so, find an invertible matrix P and a diagonal matrix D such that P-'AP = D. [1 A = |0 1 1 [1 1 0.
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