3. Consider the matrix A = -3 - -5] -3 5 -4 4 -4 Find the set of all x E R4 that are mapped to the zero vector by the transformation x → Ax.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
3. Consider the matrix
A=
=
1
0
2
-3
1
5 -5
5
4 -4
-3
Find the set of all x = R¹ that are mapped to the zero vector by the transformation
x → Ax.
Transcribed Image Text:3. Consider the matrix A= = 1 0 2 -3 1 5 -5 5 4 -4 -3 Find the set of all x = R¹ that are mapped to the zero vector by the transformation x → Ax.
Expert Solution
Step 1

Suppose  the set of vectors is given by X= abcd   which are send to zero vector by the transformation     xAx.

then we have   AX=

 =1-35-501-352-44-4 ×abcd =a-3b+5c-5db-3c+5d2a-4b+4c-4d 

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