Exercise 1.4.27 Find the rank of the following matrices. -5 - 16 -1 -4 3 6 5 12 122 0 -1 -4 -1 -2 1 2 (a) 0 (b) -2 0 3 11 -2 0 4 15 -2 0 3 11 000 0 1 252 411 -2 -3 1 0 0 0 0 -1 0 3 1 0-8 0 1 2 0 -1 -2 -3 1 4 1 4 1 -4 1 1 -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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can you please solve this ( e ) question?

Exercise 1.4.27 Find the rank of the following matrices.
(a)
4 -16 -1 -5
1
−4
0 -1
1
−4 −1 −2
(d)
1
1
1
0
(b)
3
1
1
6 5 12
22 5
212
-2 0 3 11
-2 0 4 15
-2 0 3 11
0000
(e)
(c)
0
1
1
−1
0 -1
0
3
4
1
0-8
4
0
1
2
-4
0 -1 -2
-2 -3
-2
1 1
1
1
0
1
-3
0-3
Transcribed Image Text:Exercise 1.4.27 Find the rank of the following matrices. (a) 4 -16 -1 -5 1 −4 0 -1 1 −4 −1 −2 (d) 1 1 1 0 (b) 3 1 1 6 5 12 22 5 212 -2 0 3 11 -2 0 4 15 -2 0 3 11 0000 (e) (c) 0 1 1 −1 0 -1 0 3 4 1 0-8 4 0 1 2 -4 0 -1 -2 -2 -3 -2 1 1 1 1 0 1 -3 0-3
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