A matrix A and an echelon form of A are shown below. Find a basis for Col A and a basis for Nul A. A = 1 1 16 -1 -4 -3 24-3-8 2 -2 4 15 6 2 4 -1 -3 -2 Find a basis for Col A. 77 16 -3 2 3 6 2 7 0 18 10 0 3 04 70-1 00 01 3 0000 0 2 4 (Use a comma to separate answers as needed. Type an integer or simplified fraction for each matrix element.) Find a basis for Nul A. (Use a comma to separate answers as needed. Type an integer or simplified fraction for each matrix element.)

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.6: Matrices
Problem 17E
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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.
A =
1 16 24 -3 -8
-1 -4 -3
2
2
-2
4 15
6
7
2
4-1 -3
0
Find a basis for Col A.
1
16
3
4
4
1
2
2
1 8 10 0
04 70-1
3
0001 3
0 0 0 0
0
-2
6
2
3
(Use a comma to separate answers as needed. Type an integer or simplified fraction for each matrix element.)
Find a basis for Nul A.
(Use a comma to separate answers as needed. Type an integer or simplified fraction for each matrix element.)
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. A = 1 16 24 -3 -8 -1 -4 -3 2 2 -2 4 15 6 7 2 4-1 -3 0 Find a basis for Col A. 1 16 3 4 4 1 2 2 1 8 10 0 04 70-1 3 0001 3 0 0 0 0 0 -2 6 2 3 (Use a comma to separate answers as needed. Type an integer or simplified fraction for each matrix element.) Find a basis for Nul A. (Use a comma to separate answers as needed. Type an integer or simplified fraction for each matrix element.)
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