(a) Use matrix multiplication to find the image of the triangle with data 4 2 5 matrix D= under the transformation that reflects points through the 0 2 3 y - axis. Sketch both the original triangle and its image. 4 3 7 9 (b) Is b = -3 an eigenvector of - 4 -5 1 ? If so, find the eigenvalue.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Solve Both parts 

 
(a)
Use matrix multiplication to find the image of the triangle with data
4 2 5
matrix D=
under the transformation that reflects points through the
0 2 3
y - axis. Sketch both the original triangle and its image.
4
3
7
9
(b)
Is b
- 3 an eigenvector of - 4 -5 1? If so, find the eigenvalue.
2
4 4
Transcribed Image Text:(a) Use matrix multiplication to find the image of the triangle with data 4 2 5 matrix D= under the transformation that reflects points through the 0 2 3 y - axis. Sketch both the original triangle and its image. 4 3 7 9 (b) Is b - 3 an eigenvector of - 4 -5 1? If so, find the eigenvalue. 2 4 4
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