A matrix A and an echelon form of A are shown below. Find a basis for Col A and a basis for Nul A. 1 12 14 -4 -28 1 6 6 0 4 - 1 3 6 3 11 0 3 40 - 2 A = - 2 9 16 20 0 0 0 1 7 2 6 4 -7 - 37 0 0 0 0 ... Find a basis for Col A. (Use a comma to separate answers as needed. Type an integer or simplified fraction for each matrix element.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A matrix A and an echelon form of A are shown below. Find a basis for Col A and a basis for Nul A.
1 12 14 - 4
-28
1 6 6 0
4
- 1
3
11
0 3 4 0
- 2
A =
- 2
9 16
20
0 0 0 1
7
4 -7
- 37
0 0 0 0
...
Find a basis for Col A.
(Use a comma to separate answers as needed. Type an integer or simplified fraction for each matrix element.)
CO
Transcribed Image Text:A matrix A and an echelon form of A are shown below. Find a basis for Col A and a basis for Nul A. 1 12 14 - 4 -28 1 6 6 0 4 - 1 3 11 0 3 4 0 - 2 A = - 2 9 16 20 0 0 0 1 7 4 -7 - 37 0 0 0 0 ... Find a basis for Col A. (Use a comma to separate answers as needed. Type an integer or simplified fraction for each matrix element.) CO
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