Find the reduced echelon form of the following matrices [ (a) 13 1 2 0 4 -1 -3 -3 (b) 1234 4567 6789

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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3. Find the reduced echelon form of the following matrices

(a) 

1 3 1
2 0 4
-1 -3 -3

(b) 

1 2 3 4
4 5 6 7
6 7 8 9

4. For the following matrices in reduced echelon form write the solutions of the systems for which they
are the augmented matrices

(a) 

1 0 0 0 0 -2
0 1 0 0 -4 1
0 0 0 1 9 4
0 0 0 0 0 0

(b) 

1 0 -5 -6 0 -5
0 1 -6 -3 0 2
0 0 0 0 1 4
3. Find the reduced echelon form of the following matrices
1 3 1
1 2 3 4
4 5 6 7
(a)
2
J
678 9
0 4
(a)
1 -3 -3
(b)
4. For the following matrices in reduced echelon form write the solutions of the systems for which they
are the augmented matrices
0 -2
1000
0100 -4 1
000 1 9 4
0000 0 0
(b)
10 -5 -6 0 -5
016-3 0 2
000 0 1 4
Transcribed Image Text:3. Find the reduced echelon form of the following matrices 1 3 1 1 2 3 4 4 5 6 7 (a) 2 J 678 9 0 4 (a) 1 -3 -3 (b) 4. For the following matrices in reduced echelon form write the solutions of the systems for which they are the augmented matrices 0 -2 1000 0100 -4 1 000 1 9 4 0000 0 0 (b) 10 -5 -6 0 -5 016-3 0 2 000 0 1 4
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