1. For each matrix A below, let T: R² → R² be the linear transformation given by T(u) = Au. Calculate T(e1), T(e2), and T(v), where ej and v = Then, based on your results, classify T as a dilation, reflection, or rotation. 0 1 1 0 3 0 0 3 (a) A = (b) A= (c) A = 0 1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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1.
For each matrix A below, let T: R² → R? be the linear transformation given by
T(u) = Au. Calculate T(e1), T(e2), and T(v), where ej =
and v =
Then, based on your results, classify T as a dilation, reflection, or rotation.
0 1
-1 0
3 0
(a) A =
(b) A =
(c) A
-
3
Transcribed Image Text:1. For each matrix A below, let T: R² → R? be the linear transformation given by T(u) = Au. Calculate T(e1), T(e2), and T(v), where ej = and v = Then, based on your results, classify T as a dilation, reflection, or rotation. 0 1 -1 0 3 0 (a) A = (b) A = (c) A - 3
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