2. Consider the following matrix and its RREF [40-8-1 6 3 3 A = 3 1 -2 4 1 1 0 0 3 -1 0 2 43 4 -2-9 30-6 06 Explain all your answers (a) Determine a basis for Col(A) (b) Determine a basis for Nul(A). (c) Determine rank(A) and nullity(A). RREF 1 0-2 0 0 1 0 00 01 00 00 00 74000 28410 01 -3 0 0 1 0

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
Problem 42EQ
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2. Consider the following matrix and its RREF
40 -8 -1 4
1
3
33 6 1
-2
4
-6
0
-2 -9
0 6
A = 3 1
4
3
30
Explain all your answers
(a) Determine a basis for Col(A)
(b) Determine a basis for Nul(A).
(c) Determine rank(A) and nullity(A).
0
0
2
RREF
0
2
0 -30
10 -2
0 1 4
0
00
00
0
1
4 0
0 0 0 1
0
0
0
0
Transcribed Image Text:2. Consider the following matrix and its RREF 40 -8 -1 4 1 3 33 6 1 -2 4 -6 0 -2 -9 0 6 A = 3 1 4 3 30 Explain all your answers (a) Determine a basis for Col(A) (b) Determine a basis for Nul(A). (c) Determine rank(A) and nullity(A). 0 0 2 RREF 0 2 0 -30 10 -2 0 1 4 0 00 00 0 1 4 0 0 0 0 1 0 0 0 0
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