Answered: 2. Let L: R3 → R³ and let 1 1 [L] = 3…

2. Let L: R3 → R³ and let 1 1 [L] = 3 -2 1 0 3 be the matrix of L with respect to the standard basis e. Find at least one basis e' of R$ such that [L]e is 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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Question

2. Let L: R3 R³ and let
1
1
[L]e
3 -2 1
3
be the matrix of L with respect to the standard basis e. Find
at least one basis e' of R such that [L]e is diagonal.

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