1. Use the transformation x= 2u +3v, y = 3u -2v to evaluate || (x+y) dA, where R is the square with vertices at A(0, 0), B(2,3), C(3, - 2) and D(5, 1). Graph the region R in the xy-plane, as well as the region in the ux- plane it is mapped into. Show all your work in an organized and understandable manner.

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...
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1. Use the transformation x= 2u +3v, y=3u-2v to evaluate (x+y)dA, where R is the
%3D
R
square with vertices at A(0, 0), B(2,3), C(3, - 2) and D(5, 1).
Graph the region R in the xy-plane, as well as the region in the uy- plane it is mapped
into. Show all your work in an organized and understandable manner.
Transcribed Image Text:1. Use the transformation x= 2u +3v, y=3u-2v to evaluate (x+y)dA, where R is the %3D R square with vertices at A(0, 0), B(2,3), C(3, - 2) and D(5, 1). Graph the region R in the xy-plane, as well as the region in the uy- plane it is mapped into. Show all your work in an organized and understandable manner.
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