Homework Help is Here – Start Your Trial Now!
Math
Calculus
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)
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 3CM: Let T:RnRm be the linear transformation defined by T(v)=Av, where A=[30100302]. Find the dimensions...
See similar textbooks
icon
Related questions
Question
100%

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) = ( _ , _ )

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 5 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer