Consider the following matrix: -1 9 4 4 2 -2 Determine which of the following sets of vectors are bases of the column space of A. 1) 2) 12 *{(CC) 16 6 3) -3 {E]} {]} -2 5) 7 -8 • (GB) {[ 12 -8 2 -6 -13 8 26 16 4 4 0 4 A

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider the following matrix:
4 -1 9
48
A = 4 4 4
2 -2
0
Determine which of the following sets of vectors are bases of the column space of A.
1)
2)
3)
16
-6
* (GHC)
• (HD)
{[
7
8
12
8
2
0.
{E]}
{]}
13
26
- (CHED
5)
16
2
4
• {B+E)
{[
6)
8
3
*{CAB)
3
7)
• (480)
{}
8)
2
•{000)
9)
Transcribed Image Text:Consider the following matrix: 4 -1 9 48 A = 4 4 4 2 -2 0 Determine which of the following sets of vectors are bases of the column space of A. 1) 2) 3) 16 -6 * (GHC) • (HD) {[ 7 8 12 8 2 0. {E]} {]} 13 26 - (CHED 5) 16 2 4 • {B+E) {[ 6) 8 3 *{CAB) 3 7) • (480) {} 8) 2 •{000) 9)
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