Let V be the plane with equation x1 + 3x2 + 3x3 O in R. The linear transformation -3 3 -3 T 2 -2 x3 1 1 -1 haps V into V so, by restricting it to V, we may regard it as a linear transformation T: V → V. -3 -3 ind the matrix A of the restricted map T:V → V with respect to the basis -8 -3 4 2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let V be the plane with equation xı + 3x2 + 3x3 = 0 in R°. The linear transformation
-3
3
-3
T
-2
x2
x3
-1
1
X3
maps V into V so, by restricting it to V, we may regard it as a linear transformation T:V → V.
-3
Find the matrix A of the restricted map T:V → V with respect to the basis
1
-8
-3
A
4
Transcribed Image Text:Let V be the plane with equation xı + 3x2 + 3x3 = 0 in R°. The linear transformation -3 3 -3 T -2 x2 x3 -1 1 X3 maps V into V so, by restricting it to V, we may regard it as a linear transformation T:V → V. -3 Find the matrix A of the restricted map T:V → V with respect to the basis 1 -8 -3 A 4
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