40 0 0 1 0 3 20 1 -1 -1 -2 2-1 7 Where U is the reduced echelon form of A. 2 0 1 A = U [1200 -27 0010 3 0001 1 0000 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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2. Consider the matrices

2. Consider the matrices
00
1
0
2 0 1
-2 2 -1
Where U is the reduced echelon form of A.
A =
2
0
4
-1
7
U =
[1 2 0
0
0 0 1 0
0001
0
-2]
3
1
000 0
Transcribed Image Text:2. Consider the matrices 00 1 0 2 0 1 -2 2 -1 Where U is the reduced echelon form of A. A = 2 0 4 -1 7 U = [1 2 0 0 0 0 1 0 0001 0 -2] 3 1 000 0
(c) Give a basis for Col(U).
Transcribed Image Text:(c) Give a basis for Col(U).
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