U comes from A by subtracting row 1 from row 3: A [110] [110] 1 3 LO 0 0 = 0 1 3 and U=0 -1 0 Find a basis for the column space of A: 2. 2. Find a basis for the column space of U: 9. 2. Find a basis for the row space of A: Find a basis for the row space of U: 2. % 9. 2. 2. 2. Find a basis for the null space of A: 9. Find a basis for the null space of U: 9.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.3: Orthonormal Bases:gram-schmidt Process
Problem 17E: Complete Example 2 by verifying that {1,x,x2,x3} is an orthonormal basis for P3 with the inner...
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U comes from A by subtracting row 1 from row 3:
[1
1 01
[110]
A
0
1 3 and U=0
1 3
[110]
[0
0
0
Find a basis for the column space of A:
9.
9.
Find a basis for the column space of U:
9.
9.
9.
9.
Find a basis for the row space of A:
2.
2.
2.
Find a basis for the row space of U:
2.
Find a basis for the null space of A:
2.
Find a basis for the null space of U:
2.
2.
2.
Transcribed Image Text:U comes from A by subtracting row 1 from row 3: [1 1 01 [110] A 0 1 3 and U=0 1 3 [110] [0 0 0 Find a basis for the column space of A: 9. 9. Find a basis for the column space of U: 9. 9. 9. 9. Find a basis for the row space of A: 2. 2. 2. Find a basis for the row space of U: 2. Find a basis for the null space of A: 2. Find a basis for the null space of U: 2. 2. 2.
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