Assume that A is row equivalent to B. Find bases for Nul A, Col A, and Row A. 11 5 3 6 11 0 2 5 11 2 6 0 0 5 -5 5 A = B = 4 4 - 5 13 9 0 0 0 - 4 2 2 4 9 0 0 0 A column vector basis for Nul A is (Use a comma to separate vectors as needed.) A column vector basis for Col A is }. (Use a comma to separate vectors as needed.) A row vector basis for Row A is } (Use a comma to separate vectors as needed.)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.1: Orthogonality In Rn
Problem 34EQ
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Assume that A is row equivalent to B. Find bases for Nul A, Col A, and Row A.
11
5
3 6
11 0
2
5
11
2 6
0 0 5
-5
5
A =
B =
4 4
- 5
13 9
0 0 0
- 4
2 2
4 9
0 0 0
A column vector basis for Nul A is
(Use a comma to separate vectors as needed.)
A column vector basis for Col A is }.
(Use a comma to separate vectors as needed.)
A row vector basis for Row A is }
(Use a comma to separate vectors as needed.)
Transcribed Image Text:Assume that A is row equivalent to B. Find bases for Nul A, Col A, and Row A. 11 5 3 6 11 0 2 5 11 2 6 0 0 5 -5 5 A = B = 4 4 - 5 13 9 0 0 0 - 4 2 2 4 9 0 0 0 A column vector basis for Nul A is (Use a comma to separate vectors as needed.) A column vector basis for Col A is }. (Use a comma to separate vectors as needed.) A row vector basis for Row A is } (Use a comma to separate vectors as needed.)
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