Please show work thanks Assume that T is a linear transformation. Find the standard matrix of T.KT: R² →R², first performs a horizontal shear that transforms e2 into e2 + 3e₁ (leaving e₁ unchanged) and then reflectspoints through the line x₂ = -X₁.0-1 - 3(Type an integer or simplified fraction for each matrix element.)-1A =

Given : T is a linear transformation . : T:ℝ2→ℝ2 To Find : Standard matrix

Answered: Assume that T is a linear…

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 12CM

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Assume that T is a linear transformation. Find the standard matrix of T. T: R² →R², first performs a horizontal shear that transforms e into e2 +3₁ (leaving e₁ unchanged) and then reflects points through the line x₂ = -X₁.