A linear transformation T: R² → R2 is called a dilation if T(x) = rx for r> 1. (It is called a contraction if 0 < r < 1.) (a) Find the matrix A such that T(x) = Ax. A = X (b) Letr = 2, and then sketch the graphs of u = -1 -2 ↓ 1 1 2 3 4 5 6 7 8 9 10 11 12 2 3 6 4 and T(u). 5 6 7 8 9 10 11 12 1 1 2 3 4 1 2 3 4 5 5 6 7 6 7 8 8 9 9 10 11 12 10 11 12

Algebra and Trigonometry (6th Edition)
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Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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A linear transformation T: R² → R2 is called a dilation if T(x) = rx for r> 1. (It is called a contraction if 0 < r < 1.)
(a) Find the matrix A such that T(x) = Ax.
189
A =
X
(b) Let r = 2, and then sketch the graphs of u =
Submit Answer
0-24
1 2 3 4 5
1 2
3
4
5
6
6
7
6
= [4]
7
and T(u).
8 9 10 11 12
8 9 10 11 12
1
1 2 3
4 5 6 78
2 3 4
5
6
7
8
9 10 11 12
9
10 11
Transcribed Image Text:A linear transformation T: R² → R2 is called a dilation if T(x) = rx for r> 1. (It is called a contraction if 0 < r < 1.) (a) Find the matrix A such that T(x) = Ax. 189 A = X (b) Let r = 2, and then sketch the graphs of u = Submit Answer 0-24 1 2 3 4 5 1 2 3 4 5 6 6 7 6 = [4] 7 and T(u). 8 9 10 11 12 8 9 10 11 12 1 1 2 3 4 5 6 78 2 3 4 5 6 7 8 9 10 11 12 9 10 11
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