A matrix A and its RREF, R, are shown, below. -2 -14 -1 -5 -6 1 7 0 0 3 | | 0 0 R = 0 0 0 1 35 1 15 25 1 - 5 and A = 1 %3D 7 3 1 4 28 - 2 12 34 0 0 0 0 Find bases for: row(A), col(A) and null(A). Find rank (A) and nullity(4).

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 63EQ
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A matrix A and its RREF, R, are shown, below.
-1 -5 - 6
3.
-2 -14
1
7 0 0
3
0 0 1
R =
0 0 0 1
1
- 5
5
A =
1
35
15
25
and
7
3
6
1
4
28
- 2
12
34
0 0
0 0
Find bases for: row(4), col(A) and null(4). Find rank(A) and nullity(4).
Transcribed Image Text:A matrix A and its RREF, R, are shown, below. -1 -5 - 6 3. -2 -14 1 7 0 0 3 0 0 1 R = 0 0 0 1 1 - 5 5 A = 1 35 15 25 and 7 3 6 1 4 28 - 2 12 34 0 0 0 0 Find bases for: row(4), col(A) and null(4). Find rank(A) and nullity(4).
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