Consider the transformation T: x=12/37u − 35/37v, y=35/37u + 12/37v The transformation is linear, which implies that it transforms lines into lines. Thus, it transforms the square S:−37≤u≤37,−37≤v≤37 into a square T(S) with vertices: T(37, 37) = ( _ , _ ) T(-37, 37) = ( _ , _ ) T(37, -37) = ( _ , _ ) T(-37, -37) = ( _ , _ )

Consider the transformation T: x=12/37u − 35/37v, y=35/37u + 12/37v The transformation is linear, which implies that it transforms lines into lines. Thus, it transforms the square S:−37≤u≤37,−37≤v≤37 into a square T(S) with vertices: T(37, 37) = ( _ , _ ) T(-37, 37) = ( _ , _ ) T(37, -37) = ( _ , _ ) T(-37, -37) = ( _ , _ )

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Linear Transformations

Section6.CR: Review Exercises

Problem 21CR: Let T be a linear transformation from R2 into R2 such that T(4,2)=(2,2) and T(3,3)=(3,3). Find...

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Consider the transformation T: x=12/37u − 35/37v, y=35/37u + 12/37v

The transformation is linear, which implies that it transforms lines into lines. Thus, it transforms the square S:−37≤u≤37,−37≤v≤37 into a square T(S) with vertices:

T(37, 37) = ( _ , _ )

T(-37, 37) = ( _ , _ )

T(37, -37) = ( _ , _ )

T(-37, -37) = ( _ , _ )

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