U comes from A by subtracting row 1 from row 3: [1 -1 01 [1 - -1 01 A = 1 3 and U = 0 1 3 -1 0] 0 0 0 Find a basis for the column space of A: Find a basis for the column space of U: Find a basis for the row space of A:

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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U comes from A by subtracting row 1 from row 3:
[1
-1 01
[1
-1 01
A
0
1 3
and U
=
0 1
3
-1 0
0
0
0
Find a basis for the column space
"
of A:
"
Find a basis for the column space of U:
".
Find a basis for the row space of A:
Find a basis for the row space of U:
Find a basis for the null space of A:
".
"
Find a basis for the null space of U:
Transcribed Image Text:U comes from A by subtracting row 1 from row 3: [1 -1 01 [1 -1 01 A 0 1 3 and U = 0 1 3 -1 0 0 0 0 Find a basis for the column space " of A: " Find a basis for the column space of U: ". Find a basis for the row space of A: Find a basis for the row space of U: Find a basis for the null space of A: ". " Find a basis for the null space of U:
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