In problem 17- 20, a system of linear equations and a reduced matrix for the system are given. (a) Use the reduced matrix to find the general solution of the system, if one exists. (b) If multiple solutions exist, find two specific solutions. 19. { 2 x + y − z = 7 x − y − z = 4 3 x + 3 y − z = 10 [ 1 0 − 2 3 0 1 1 3 0 0 0 | 11 3 − 1 3 0 ]
In problem 17- 20, a system of linear equations and a reduced matrix for the system are given. (a) Use the reduced matrix to find the general solution of the system, if one exists. (b) If multiple solutions exist, find two specific solutions. 19. { 2 x + y − z = 7 x − y − z = 4 3 x + 3 y − z = 10 [ 1 0 − 2 3 0 1 1 3 0 0 0 | 11 3 − 1 3 0 ]
Solution Summary: The author explains how to determine the solution of the system using the given reduced matrix.
In problem 17- 20, a system of linear equations and a reduced matrix for the system are given. (a) Use the reduced matrix to find the general solution of the system, if one exists.
(b) If multiple solutions exist, find two specific solutions.
19.
{
2
x
+
y
−
z
=
7
x
−
y
−
z
=
4
3
x
+
3
y
−
z
=
10
[
1
0
−
2
3
0
1
1
3
0
0
0
|
11
3
−
1
3
0
]
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