The symmetric matrix A below has eigenvalues 9 and 27 (multiplicity 2). Find an orthonormal basis B of R³ consisting of eigenvectors of A.Use the square root symbol 'V' where needed to give an exact value for your answer. A = B = 19 8 -4 8 19 4 -4 4 25 0 0 0 0 0 0 0

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 36EQ: Consider again the matrix A in Exercise 35. Give conditions on a, b, c, and d such that A has two...
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The symmetric matrix A below has eigenvalues 9 and 27 (multiplicity
2). Find an orthonormal basis B of R³ consisting of eigenvectors of
A.Use the square root symbol '√' where needed to give an exact
value for your answer.
A =
B =
19 8 -4
8 19 4
-4 4 25
0
0
0
0 0
0
0
0
0
Transcribed Image Text:The symmetric matrix A below has eigenvalues 9 and 27 (multiplicity 2). Find an orthonormal basis B of R³ consisting of eigenvectors of A.Use the square root symbol '√' where needed to give an exact value for your answer. A = B = 19 8 -4 8 19 4 -4 4 25 0 0 0 0 0 0 0 0 0
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