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:

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:

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.6: Rank Of A Matrix And Systems Of Linear Equations

Problem 69E: Consider an mn matrix A and an np matrix B. Show that the row vectors of AB are in the row space of...

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Question

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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