2. Let T: Q3 Q3 be the linear operator with matrix (with respect to the standard basis) 2 -1 A = 1 0 112 Find a basis B of Q3 consisting of eigenvectors of T, and compute the matrix for T with respect to B.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.4: Orthogonal Diagonalization Of Symmetric Matrices
Problem 16EQ
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2. Let T: Q3 Q3 be the linear operator with matrix (with respect to the standard basis)
2
-1
A =
1
0
112
Find a basis B of Q3 consisting of eigenvectors of T, and compute the matrix for T with respect to B.
Transcribed Image Text:2. Let T: Q3 Q3 be the linear operator with matrix (with respect to the standard basis) 2 -1 A = 1 0 112 Find a basis B of Q3 consisting of eigenvectors of T, and compute the matrix for T with respect to B.
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