9.5. Find the eigenvalues and eigenvectors of the matrix A = NIT If A is diagonalizable, find a matrix P and a diagonal matrix D such that P-¹AP = D. matrix

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.4: The Singular Value Decomposition
Problem 26EQ
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9.5 λι
=
P =
-
1
1
3
2
with eigenvector
-1,D=
3
2
0
0
1
2
H1
[2]2= with eigenvector
9.6 Eigenvalue 1 multiplicity 2. Only one linearly independent eigenvector
9
Not diagonalizable.
Transcribed Image Text:9.5 λι = P = - 1 1 3 2 with eigenvector -1,D= 3 2 0 0 1 2 H1 [2]2= with eigenvector 9.6 Eigenvalue 1 multiplicity 2. Only one linearly independent eigenvector 9 Not diagonalizable.
9.5. Find the eigenvalues and eigenvectors of the matrix
A =
HIS
2
A
2
If A is diagonalizable, find a matrix P and a diagonal matrix D such that P¯¹AP =
D.
9.6. Find the eigenvalues and eigenvectors of the matrix
= [1]
If A is diagonalizable, find a matrix P and a diagonal matrix D such that P-¹AP =
D.
Transcribed Image Text:9.5. Find the eigenvalues and eigenvectors of the matrix A = HIS 2 A 2 If A is diagonalizable, find a matrix P and a diagonal matrix D such that P¯¹AP = D. 9.6. Find the eigenvalues and eigenvectors of the matrix = [1] If A is diagonalizable, find a matrix P and a diagonal matrix D such that P-¹AP = D.
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