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 4 2 - 4 1 4 7 3 6 24 1 5 003 9 A= - 2 8 4 12 0 0 0 3 5 20 0 14 0 0 0 0

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 4 2 - 4 1 4 7 3 6 24 1 5 003 9 A= - 2 8 4 12 0 0 0 3 5 20 0 14 0 0 0 0

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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Question

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 4
2
-
4
1 4 7
3
6 24
1
5
003
9
A=
-
2
8
4
12
0 0 0
3
5 20
0 14
0 0 0
0

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