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(f) Three of these transformations are shape-preserving. Which are they? UJ OK OL COM ON

(f) Three of these transformations are shape-preserving. Which are they? UJ OK OL COM ON

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.CR: Review Exercises
Problem 22CR: Let T be a linear transformation from R2 into R2 such that T(1,1)=(2,3) and T(0,2)=(0,8). Find...
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Each of J, K, L, M and N is a linear transformation from R2 to R2. These functions are given as follows: J(x1, x2) = (5x1 - 5x2, -10x1 + 10x2), K(x₁, x2)=(-√√5x2, √5x1), L(x₁, x₂) = (x2, -x₁), M(x1, x2) = (5x1 + 5x2, 10x1 - 6x2), N(x1, x2) = (-√√5x1, √5x2).
Transcribed Image Text:Each of J, K, L, M and N is a linear transformation from R2 to R2. These functions are given as follows: J(x1, x2) = (5x1 - 5x2, -10x1 + 10x2), K(x₁, x2)=(-√√5x2, √5x1), L(x₁, x₂) = (x2, -x₁), M(x1, x2) = (5x1 + 5x2, 10x1 - 6x2), N(x1, x2) = (-√√5x1, √5x2).
(f) Three of these transformations are shape-preserving. Which are they? UJ OK OL OM ON (g) One of these transformations is not injective. Which is it? (No answer given)
Transcribed Image Text:(f) Three of these transformations are shape-preserving. Which are they? UJ OK OL OM ON (g) One of these transformations is not injective. Which is it? (No answer given)
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