Exercise 11.7.1 For each of the following symmetric matrices, find the eigenvalues, an orthonormal basis for each eigenspace, and then orthogonally diagonalize the matrix. ], (b) A= (a) A (c) A = 1 10 HD 12 1 01 1 (d) A= 2 2 12 2 225

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.1: Introduction To Eigenvalues And Eigenvectors
Problem 25EQ: In Exercises 23-26, use the method of Example 4.5 to find all of the eigenvalues of the matrix A....
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Can you help me solve parts C, and D from question 11.7.1 please?

Exercise 11.7.1 For each of the following symmetric matrices, find the eigenvalues, an orthonormal basis
for each eigenspace, and then orthogonally diagonalize the matrix.
(a)
(b)
(c) A =
iD
1 1 0
121
0 1 1
-[1
(d) A=
212
122
225
Transcribed Image Text:Exercise 11.7.1 For each of the following symmetric matrices, find the eigenvalues, an orthonormal basis for each eigenspace, and then orthogonally diagonalize the matrix. (a) (b) (c) A = iD 1 1 0 121 0 1 1 -[1 (d) A= 212 122 225
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