Determine whether the given matrix A (3x3) is diagonalizable and, if it is, give a diagonal matrix similar to A as well as a matrix P and its inverse so that P-1AP is this diagonal matrix. [1 2 01 A = |0 2 3] l1 1

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.4: Similarity And Diagonalization
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Determine whether the given matrix A (3x3) is diagonalizable and, if it is,
give a diagonal matrix similar to A as well as a matrix P and its inverse so that P-'AP is
this diagonal matrix.
01
[1
A = |0
[1
2
1
3.
Transcribed Image Text:Determine whether the given matrix A (3x3) is diagonalizable and, if it is, give a diagonal matrix similar to A as well as a matrix P and its inverse so that P-'AP is this diagonal matrix. 01 [1 A = |0 [1 2 1 3.
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