Consider the following system of linear equations given in a matrix form: 0 -5 0 1 0 1 7 이 1 Which one of the following represents the general solution of the 0 0 1 0 system? O O O 8-0-0 c 21 x2 x3 X4 x1 x2 X3 C4 + c 7 ,where c ER = 1 Q-0-0- 5 -7 0 ,where c ER 5 c -7 ,where c € R 5 -7 -0-0- c ,where c € R

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the following system of linear equations given in a matrix form:
1
0 -5 0 1
1
7 이
0 0
0 1 0
system?
O
O
X1
X2
X3
x1
x2
x3
X4
=
x3
||
=
0
E
-
1 . Which one of the following represents the general solution of the
+ c
+ c
-5
H
7 ,where c € R
5
-7
Q-0-H
=
5
+ c -7 ,where c ER
8-0-8
c
,where c ER
5
,where c ER
Transcribed Image Text:Consider the following system of linear equations given in a matrix form: 1 0 -5 0 1 1 7 이 0 0 0 1 0 system? O O X1 X2 X3 x1 x2 x3 X4 = x3 || = 0 E - 1 . Which one of the following represents the general solution of the + c + c -5 H 7 ,where c € R 5 -7 Q-0-H = 5 + c -7 ,where c ER 8-0-8 c ,where c ER 5 ,where c ER
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