1 1 1 1 1 1 0 2 0 1 2 -1 5 3 6 4. Consider A = 01 -1 0-1 -1 2 -4 1 -2 with a corresponding rref (A) = 00 0 1 1 4 -2 10 9 15 00 0 0 0 • State a basis for the column space of A. . Choose one of the columns from A not selected as part of the basis and show how it is a linear combination of your basis.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section: Chapter Questions
Problem 10RQ
Question
1
1
1
1
1
1 0
2
0
1
2
-1
5
3
6
4. Consider A =
01
-1
0-1
-1
2
-4
1
-2
with a corresponding rref (A) =
00 0 1 1
4 -2
10
9 15
00 0 0 0
• State a basis for the column space of A.
. Choose one of the columns from A not selected as part of the basis and show how it is a
linear combination of your basis.
Transcribed Image Text:1 1 1 1 1 1 0 2 0 1 2 -1 5 3 6 4. Consider A = 01 -1 0-1 -1 2 -4 1 -2 with a corresponding rref (A) = 00 0 1 1 4 -2 10 9 15 00 0 0 0 • State a basis for the column space of A. . Choose one of the columns from A not selected as part of the basis and show how it is a linear combination of your basis.
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