SOLUTION: 1. Using matrices solve the following system of equations: 2/x-3/y+3/z=10 1/x+1/y+1/z=10 3/x-1/y+2/z=13

Algebra ->  Matrices-and-determiminant -> SOLUTION: 1. Using matrices solve the following system of equations: 2/x-3/y+3/z=10 1/x+1/y+1/z=10 3/x-1/y+2/z=13      Log On


   

Question 300732: 1. Using matrices solve the following system of equations:

2/x-3/y+3/z=10
1/x+1/y+1/z=10
3/x-1/y+2/z=13
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
[A]= %28matrix%283%2C3%2C2%2C-3%2C3%2C1%2C1%2C1%2C3%2C-1%2C2%29%29
[A][x]=[b]
[x]=[A]inv[b]
[x]= %28matrix%283%2C1%2C1%2Fx%2C1%2Fy%2C1%2Fz%29%29
[b]= %28matrix%283%2C1%2C10%2C10%2C13%29%29
det([A])=-9
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[A]inv=-%281%2F9%29%2A%28matrix%283%2C3%2C3%2C3%2C-6%2C1%2C-5%2C1%2C-4%2C-7%2C5%29%29
[x]=[A]inv[b]
[x]= %28matrix%283%2C1%2C2%2C3%2C5%29%29
1%2Fx=2
highlight_green%28+x=1%2F2%29
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1%2Fy=3
highlight_green%28+y=1%2F3%29
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1%2Fz=5
highlight_green%28+z=1%2F5%29