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.
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.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 8E
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
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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