Find the bases of Null, Col, and Row space of the following matrices and determine their rank -3 -3 -3 2 0 -6 4 0 1 3 1 7 2 -2 1 0 -1 -2 -2 -2 0 2 11 0 1 -2 -4 -4 (a) A= (b) B= 2 -3 -1 0 -8 0 (c) C = 3 3 3 0 4 3 0 -3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Find the bases of Null, Col, and Row space of the following matrices and determine their rank
1 -1
4
3
0
(a) A =
-3
3
-2
0
-3 -3 2
1
7
2
-2
-2
0
1 -2 -4
(b) B=
-6 4
1
2 -1 11 0
-1
0 -4 -1
0
2
-2 -3
-8
(c) C =
0
0
3
3
-1
3
0
-3
Transcribed Image Text:Find the bases of Null, Col, and Row space of the following matrices and determine their rank 1 -1 4 3 0 (a) A = -3 3 -2 0 -3 -3 2 1 7 2 -2 -2 0 1 -2 -4 (b) B= -6 4 1 2 -1 11 0 -1 0 -4 -1 0 2 -2 -3 -8 (c) C = 0 0 3 3 -1 3 0 -3
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