Determine the rotation matrix A about the point (7,-2) through the angle 153 degrees (the diagram does not corrrespond to the random values of this problem). That is, find A such that if R: R² → R² is the rotation (which is not a linear transformation) and พ1 01 R = V2 W2 then V1 W1 A V2 1 = W2

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.6: Introduction To Linear Transformations
Problem 1EQ: 1. Let Ta : ℝ2 → ℝ2 be the matrix transformation corresponding to . Find , where and .
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Determine the rotation matrix A about the point (7,-2) through the angle 153 degrees (the diagram does not
correspond to the random values of this problem). That is, find A such that if R: R2 R2 is the rotation
(which is not a linear transformation) and
then
A =
01
พ1
R
=
V2
W2
A
61-61
=
R(V)
Transcribed Image Text:→ Determine the rotation matrix A about the point (7,-2) through the angle 153 degrees (the diagram does not correspond to the random values of this problem). That is, find A such that if R: R2 R2 is the rotation (which is not a linear transformation) and then A = 01 พ1 R = V2 W2 A 61-61 = R(V)
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