1. Suppose that A and its reduced row echelon form are To 2 0 -4 0 6 0 -1 7 0-16 0 0 -12 3 15 0 −1 -9 0 8 A -4 6 4 (a) What is the dimension of Nul(A)? (b) Find a basis for Nul(A). [0 1 0 -2 0 3 0 0 1 1 0 4 000 0 1 -1 000 0 0 0
1. Suppose that A and its reduced row echelon form are To 2 0 -4 0 6 0 -1 7 0-16 0 0 -12 3 15 0 −1 -9 0 8 A -4 6 4 (a) What is the dimension of Nul(A)? (b) Find a basis for Nul(A). [0 1 0 -2 0 3 0 0 1 1 0 4 000 0 1 -1 000 0 0 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

Transcribed Image Text:1. Suppose that A and its reduced row echelon form are
To 2
0 -4 0 6
0
-1
7 0-16
0
0
-12 3 15
0
−1 -9 0
8
A
-4
6
4
(a) What is the dimension of Nul(A)?
(b) Find a basis for Nul(A).
[0 1 0 -2 0
3
0 0 1 1 0 4
000 0 1 -1
000 0
0
0
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