The matrices A, = : ] 1 » A2 Аз A4 form a basis for the linear space V = R2x2. Write the matrix of the linear transformation T : R2x2 → R²×² such that T(A) = 8A+ 5AT relative to this basis.

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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The matrices
A, = ), 4: =
1
A3
A4
form a basis for the linear space V = R²x2. Write the matrix of the linear transformation T : R2X2 → R²x2 such that
= 8A + 5AT relative to this basis.
Transcribed Image Text:The matrices A, = ), 4: = 1 A3 A4 form a basis for the linear space V = R²x2. Write the matrix of the linear transformation T : R2X2 → R²x2 such that = 8A + 5AT relative to this basis.
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