Given below is a matrix A and an echelon fom of A. Find bases for Col A and Nul A, and then state the dimensions of these subspaces. 1 2 5 -3 125 6 12 6 0 05 -6 A= 2 4 -5 00 0 5 10 0 12 0 0 0 3.

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 61CR: Find the bases for the four fundamental subspaces of the matrix. A=[010030101].
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Given below is a matrix A and an echelon form of A. Find bases for Col A and Nul A, and then state the dimensions of these subspaces.
1.
2
5 -3
125
6 12
1
6.
0 05-6
A=
24 -5
0 0 0
5 10
O 12
0 00
3.
7.
Transcribed Image Text:Given below is a matrix A and an echelon form of A. Find bases for Col A and Nul A, and then state the dimensions of these subspaces. 1. 2 5 -3 125 6 12 1 6. 0 05-6 A= 24 -5 0 0 0 5 10 O 12 0 00 3. 7.
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