Find the bases for Col A and Nul A, and then state the dimension of these subspaces for the matrix A and an echelon form of A below. 1 4 -4 3 3 1 4 - 4 3 3 5 20 -9 -7 0 0 1 -2 A = 4 16 -9 - 2 0 0 0 - 8 -2 -8 0 - 6 0 0 A basis for Col A is given by {}. (Use a comma to separate vectors as needed.) The dimension of Col A is . A basis for Nul A is given by {}. (Use a comma to separate vectors as needed.) The dimension of Nul A is

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 41CR: Let B={(0,2,2),(1,0,2)} be a basis for a subspace of R3, and consider x=(1,4,2), a vector in the...
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Find the bases for Col A and Nul A, and then state the dimension of these subspaces for the matrix A and an echelon form of A below.
1
4
- 4
3
1 4
- 4
3
20
- 9
- 7
8
0 0
1
- 2
A =
4
16 -9
- 2
4
0 0
0 - 8
- 2
- 8
5 0 -6
0 0
0 0 0
A basis for Col A is given by { }.
(Use a comma to separate vectors as needed.)
The dimension of Col A is
A basis for Nul A is given by {I }.
(Use a comma to separate vectors as needed.)
The dimension of Nul A is
LO
Transcribed Image Text:Find the bases for Col A and Nul A, and then state the dimension of these subspaces for the matrix A and an echelon form of A below. 1 4 - 4 3 1 4 - 4 3 20 - 9 - 7 8 0 0 1 - 2 A = 4 16 -9 - 2 4 0 0 0 - 8 - 2 - 8 5 0 -6 0 0 0 0 0 A basis for Col A is given by { }. (Use a comma to separate vectors as needed.) The dimension of Col A is A basis for Nul A is given by {I }. (Use a comma to separate vectors as needed.) The dimension of Nul A is LO
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