8. How many rows and columns must a matrix A have in order to define a mapping from R4 into R5 by the rule T'(x) = Ax? For Exercises 9 and 10, find all x in Rª that are mapped into the zero vector by the transformation x→ Ax for the given matrix A. 9. A = 1 0 2-6 -4 7 1 -4 -5 3 6 -4

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.6: Introduction To Linear Transformations
Problem 55EQ
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Answer to 8 and 9 please
00 x 10.00 in
8. How many rows and columns must a matrix A have in order
to define a mapping from R4 into R5 by the rule T(x) = Ax?
For Exercises 9 and 10, find all x in R4 that are mapped into the
zero vector by the transformation x Ax for the given matrix A.
9. A =
7 -5
1 -4 3
6-4
1
0
2 -6
-4
Search
DELL
H
15. T
16. T(
17. Let
u=
fact
3u
W
Transcribed Image Text:00 x 10.00 in 8. How many rows and columns must a matrix A have in order to define a mapping from R4 into R5 by the rule T(x) = Ax? For Exercises 9 and 10, find all x in R4 that are mapped into the zero vector by the transformation x Ax for the given matrix A. 9. A = 7 -5 1 -4 3 6-4 1 0 2 -6 -4 Search DELL H 15. T 16. T( 17. Let u= fact 3u W
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