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 3 5 -8 1 3 4 6 2 6 1 7 007 -6 A = 4 12-2 11 0 0 0 7 6 18 0 18 0 0 0 0 A basis for Col A is given by D. (Use a comma to separate answers as needed.)

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 3 5 -8 1 3 4 6 2 6 1 7 007 -6 A = 4 12-2 11 0 0 0 7 6 18 0 18 0 0 0 0 A basis for Col A is given by D. (Use a comma to separate answers as needed.)

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter3: Matrices

Section3.5: Subspaces, Basis, Dimension, And Rank

Problem 46EQ

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Question

Please solve all parts and show work.

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
3
5
-8
1 3 4
6
2
6
1
7
007
-6
A =
4 12-2 11
0 0 0
7
6 18 0 18
0 0 0
0
A basis for Col A is given by D.
(Use a comma to separate answers as needed.)

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