Find the standard matrices A and A' for T = T₂ o T₁ and T' = T₁ 0 T₂. T₁: R2 R², T₁(x, y) = (x - 5y, 4x + 4y) T2: R2 R2, T₂(x, y) = (0, x) → A = A' =

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Determinants
Section3.CM: Cumulative Review
Problem 10CM: Find ATA for the matrix A=[531246]. Show that this product is symmetric.
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Find the standard matrices A and A' for T = T₂ o T₁ and T' = T₁ 0 T₂.
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T₁: R² R², T₁(x, y) = (x - 5y, 4x + 4y)
R², T₂(x, y) = (0, x)
T₂: R²
A =
A' =
↓ 1
Transcribed Image Text:Find the standard matrices A and A' for T = T₂ o T₁ and T' = T₁ 0 T₂. → T₁: R² R², T₁(x, y) = (x - 5y, 4x + 4y) R², T₂(x, y) = (0, x) T₂: R² A = A' = ↓ 1
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