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.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.6: The Algebra Of Matrices
Problem 14E
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
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
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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