A matrix A and an echelon form of A are shown below. Find a basis for Col A and a basis for Nul A. 3 3 -9 15 1 2 0 1 A = 5 4 -18 29 0 1 3 - 4 2 1 -9 14 0 0 0 ... Find a basis for Col A. (Simplify your answer. Use a comma to separate answers as needed.) Find a basis for Nul A. (Simplify your answer. Use a comma to separate answers as needed.)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.3: Change Of Basis
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A matrix A and an echelon form of A are shown below. Find a basis for Col A and a basis for Nul A.
3 3
-9 15
1 2 0
1
A =
5 4
- 18 29
0 1 3
- 4
2 1
-9 14
0 0 0
Find a basis for Col A.
(Simplify your answer. Use a comma to separate answers as needed.)
Find a basis for Nul A.
(Simplify your answer. Use a comma to separate answers as needed.)
Transcribed Image Text:A matrix A and an echelon form of A are shown below. Find a basis for Col A and a basis for Nul A. 3 3 -9 15 1 2 0 1 A = 5 4 - 18 29 0 1 3 - 4 2 1 -9 14 0 0 0 Find a basis for Col A. (Simplify your answer. Use a comma to separate answers as needed.) Find a basis for Nul A. (Simplify your answer. Use a comma to separate answers as needed.)
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