Tis diagonal.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 25CM: Find a basis B for R3 such that the matrix for the linear transformation T:R3R3,...
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Basis vector - 1 | Basis vector - 2 | Basis vector - 3
_____________ | _____________ | _____________
_____________ | _____________ | _____________
_____________ | _____________ | _____________

 

Note that these are the basis vectors that produce the diagonal matrix A' for T.

Let T:R3→R3 be the linear operator given by
3x, — 2х,
T
X2
-2x, +3x,
X3
5х,
Find a basis for R3 relative to which the
matrix of T is diagonal.
Transcribed Image Text:Let T:R3→R3 be the linear operator given by 3x, — 2х, T X2 -2x, +3x, X3 5х, Find a basis for R3 relative to which the matrix of T is diagonal.
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