Find the dimensions of the null space and the column space of the given matrix. 5 1 3 9) A = 9 -4 -5 -4 A) dim Nul A = 3, dim Col A = 2 C) dim Nul A = 2, dim Col A = 3 1 -2 1 -2 3 1 0 5 -4 0 0 1 -6 2 -2 0 0 0 0 0 0 1 3 0 0 0 0 0 0 0 A) dim Nul A = 4, dim Col A = 3 C) dim Nul A = 2, dim Col A = 5 10) A = B) dim Nul A = 3, dim Col A = 3 D) dim Nul A = 4, dim Col A = 1 B) dim Nul A = 5, dim Col A = 2 D) dim Nul A = 3, dim Col A = 4
Find the dimensions of the null space and the column space of the given matrix. 5 1 3 9) A = 9 -4 -5 -4 A) dim Nul A = 3, dim Col A = 2 C) dim Nul A = 2, dim Col A = 3 1 -2 1 -2 3 1 0 5 -4 0 0 1 -6 2 -2 0 0 0 0 0 0 1 3 0 0 0 0 0 0 0 A) dim Nul A = 4, dim Col A = 3 C) dim Nul A = 2, dim Col A = 5 10) A = B) dim Nul A = 3, dim Col A = 3 D) dim Nul A = 4, dim Col A = 1 B) dim Nul A = 5, dim Col A = 2 D) dim Nul A = 3, dim Col A = 4
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 3CEXP
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Question
![Find the dimensions of the null space and the column space of the given matrix.
1 5
1 3
9) A =
91
-4 -5 -4
A) dim Nul A = 3, dim Col A = 2
C) dim Nul A = 2, dim Col A = 3
-2
1
-2
3 1
0
5
-4
0
0
1-6
2 -2
0
0
0 0 0
3
0 1
00 0 0 0 0
0
A) dim Nul A = 4, dim Col A = 3
C) dim Nul A = 2, dim Col A = 5
10) A =
B) dim Nul A = 3, dim Col A = 3
D) dim Nul A = 4, dim Col A = 1
one or belt bas to congedussel Alut tut dans I but sh
B) dim Nul A = 5, dim Col A = 2
D) dim Nul A = 3, dim Col A = 4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8aa5a8f7-80ac-4340-a2ba-c822c7404ea9%2F1037b224-6700-46e9-8612-1690c438cefc%2Fhisrth_processed.png&w=3840&q=75)
Transcribed Image Text:Find the dimensions of the null space and the column space of the given matrix.
1 5
1 3
9) A =
91
-4 -5 -4
A) dim Nul A = 3, dim Col A = 2
C) dim Nul A = 2, dim Col A = 3
-2
1
-2
3 1
0
5
-4
0
0
1-6
2 -2
0
0
0 0 0
3
0 1
00 0 0 0 0
0
A) dim Nul A = 4, dim Col A = 3
C) dim Nul A = 2, dim Col A = 5
10) A =
B) dim Nul A = 3, dim Col A = 3
D) dim Nul A = 4, dim Col A = 1
one or belt bas to congedussel Alut tut dans I but sh
B) dim Nul A = 5, dim Col A = 2
D) dim Nul A = 3, dim Col A = 4
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