0 1 0 0 4 0 00 0 0 0 -1 Find a basis for the null space of A and the nullity of A. The reduced row echelon form of the matrix A= (a) Null space basis: (b) Nullity: 3 12 0 -3 -8 0 -2 TO 1 0 0 0 1 0 0 0 0 0 0 3 3 0 -2] 2 0

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
0 1
0
4
00
0 0
Find a basis for the null space of A and the nullity of A.
The reduced row echelon form of the matrix A
(a) Null space basis:
(b) Nullity:
0
0
0
-1
3
12
0
-3
-8
0
-2
0 1
0
0
0
0
0 0
0
1
3
0
0
00
3
-21
2
Transcribed Image Text:0 1 0 4 00 0 0 Find a basis for the null space of A and the nullity of A. The reduced row echelon form of the matrix A (a) Null space basis: (b) Nullity: 0 0 0 -1 3 12 0 -3 -8 0 -2 0 1 0 0 0 0 0 0 0 1 3 0 0 00 3 -21 2
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