1 -5 0 0 | -2 1 0 0 7 5 | -5 0 1 0 | 3 j. 0 1 -4 -3 2 0 | 7 0 0 1 6 -2 | 4 0 0 0 | 1 0 0 6 | -5 1 -5 0 0 4 | -2 1 0 0 -3 1 0 7 | 9. 0 0 1 2 | 4 0 0 0 1 3 | | 6.
1 -5 0 0 | -2 1 0 0 7 5 | -5 0 1 0 | 3 j. 0 1 -4 -3 2 0 | 7 0 0 1 6 -2 | 4 0 0 0 | 1 0 0 6 | -5 1 -5 0 0 4 | -2 1 0 0 -3 1 0 7 | 9. 0 0 1 2 | 4 0 0 0 1 3 | | 6.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Please answer the complex ones so I can get an understanding of how to do it.
Transcribed Image Text:1
-5 0 0 |
-2
1 0
5 | -5
0 -4 -3 ||
7
0 1
|
3
i.
j.
0 1
0 0
|
7
0 0
1
6 -2 |
4
0 0
0 0 |
1
0 0
6 | -5
1 -5 0
0 4 |
-2
1 0
0 -3 |
2
0 1
0 7 |
9.
k.
1.
0 1
2 |
4
0 0
1 3 | 6
0 0 1
8 | -1
0 0
0 0 |
1
3 -4
-6 |
5
0 1
-3
0 |
1 -2 -9
8 | -1
0 0
1 0 |
-7
(careful!)
m.
n.
0 | 0
0 0
0 1 | 4
|
0 0
0 0 |
1
0 -9 0 0
4 |
7
1
0 0
-5
3 |
4
1
3 0
0 – 1
|
0 1
0 0
3
5
|
0.
р.
0 1
6 | -1
0 0
1 0
-2
4 |
| -2
0 0 1
5 | 2
0 0 0 1
7
-6 |
3
Transcribed Image Text:Verify that the following augmented matrices are in rref, identify the leading and the free
variables, then find all the solutions, if there are any, to the systems of equations
corresponding to the rref. Assume that the variables are x1, x2,..., Xn. Use the letters r,
s, t, and u for values of the free variables. Write your solutions in vector form.
2.
1
0 0 | -3
1 0 0 |
7
0 10 | 2
b.
0 1 0 |
а.
0 0 1 | 6
0 0 1 |-4
1 -3 0 |
7 | -3
0 1 -4 |
1 0
2
d.
0 1 | -7
с.
0 0
|
0 0 | 0
1 -5 2 | 8
1 0
3 |
0 0 | 0
f.
1 -2 0||
6.
е.
0 0 | 0
0 0
0 1 | -4
1 0 0 -5 | 3
1 -9 0
3 | -5
g.
0 1
4 | 0
h.
0 1 -6 | 2
0 0 1 -7 | -2
0 0 0 |
1
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