R2 → R3 first performs horizontal shear that transforms e2 into e2 -  2 e1 and then reflects points through line x2 = -x1. Find the standard matrix.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Determinants
Section3.CM: Cumulative Review
Problem 17CM: Find the sequence of the elementary matrices whose product is the non singular matrix below. [2410]
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R2 → Rfirst performs horizontal shear that transforms e2 into e2 -  2 e1 and then reflects points through line x= -x1. Find the standard matrix. 

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