SOLUTION: Use matrices to solve the system. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, express x, y, and z in terms of the parameter c.) 2x &

Algebra ->  College  -> Linear Algebra -> SOLUTION: Use matrices to solve the system. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, express x, y, and z in terms of the parameter c.) 2x &      Log On


   

Question 1030352: Use matrices to solve the system. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, express x, y, and z in terms of the parameter c.)

2x − 3y + z = 0
3x + 2y − z = 3
5x − 2y + z = 1
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use Cramer's rule,
A=%28matrix%283%2C3%2C%0D%0A2%2C-3%2C1%2C%0D%0A3%2C2%2C-1%2C%0D%0A5%2C-2%2C1%29%29
abs%28A%29=8
,
,
,
A%5Bx%5D=%28matrix%283%2C3%2C%0D%0A0%2C-3%2C1%2C%0D%0A3%2C2%2C-1%2C%0D%0A1%2C-2%2C1%29%29
abs%28A%5Bx%5D%29=4
,
,
,
A%5By%5D=%28matrix%283%2C3%2C%0D%0A2%2C0%2C1%2C%0D%0A3%2C3%2C-1%2C%0D%0A5%2C1%2C1%29%29
abs%28A%5By%5D%29=-4
,
,
,
A%5Bz%5D=%28matrix%283%2C3%2C%0D%0A2%2C-3%2C0%2C%0D%0A3%2C2%2C3%2C%0D%0A5%2C-2%2C1%29%29
abs%28A%5Bz%5D%29=-20
,
,
,
x=abs%28A%5Bx%5D%29%2Fabs%28A%29=4%2F8=1%2F2
.
.
y=abs%28A%5By%5D%29%2Fabs%28A%29=-4%2F8=-1%2F2
.
.
z=abs%28A%5Bz%5D%29%2Fabs%28A%29=-20%2F8=-5%2F2
.
.