SOLUTION: Find the solution of the linear systems X+2Y-5Z=1 2X-2Y+ Z=2 4X-2Y+3Z=3 x=? y=? z=?

Algebra ->  Matrices-and-determiminant -> SOLUTION: Find the solution of the linear systems X+2Y-5Z=1 2X-2Y+ Z=2 4X-2Y+3Z=3 x=? y=? z=?      Log On


   



Question 379751: Find the solution of the linear systems X+2Y-5Z=1 2X-2Y+ Z=2 4X-2Y+3Z=3
x=?
y=?
z=?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
[A]=%28matrix%283%2C3%2C1%2C2%2C-5%2C2%2C-2%2C1%2C4%2C-2%2C3%29%29
[x]=%28matrix%283%2C1%2Cx%2Cy%2Cz%29%29
[b]=%28matrix%283%2C1%2C1%2C2%2C3%29%29
.
.
.
[A][x]=[b]
[x]=[A]inv[b]
.
det[A]=-28
.
Using matrix inversion,
[x]=-%281%2F28%29%2A%28matrix%283%2C1%2C20%2C11%2C6%29%29