SOLUTION: Find the conplete solution of the linear system or show that it is inconsistent: x + y + z = 4 and x + 3y + 3z = 10 and 2x + y - z = 3

Algebra ->  College  -> Linear Algebra -> SOLUTION: Find the conplete solution of the linear system or show that it is inconsistent: x + y + z = 4 and x + 3y + 3z = 10 and 2x + y - z = 3      Log On


   

Question 323380: Find the conplete solution of the linear system or show that it is inconsistent:
x + y + z = 4 and x + 3y + 3z = 10 and 2x + y - z = 3
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
[A]=%28matrix%283%2C3%2C1%2C1%2C1%2C1%2C3%2C3%2C2%2C1%2C-1%29%29
[x]=%28matrix%283%2C1%2Cx%2Cy%2Cz%29%29
[b]=%28matrix%283%2C1%2C4%2C10%2C3%29%29
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[A][x]=[b]
[x]=[A]inv[b]
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det[A]=-4
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[A]inv=%281%2F-4%29%2A%28matrix%283%2C3%2C-6%2C2%2C0%2C7%2C-3%2C-2%2C-5%2C1%2C2%29%29
[x]=%28matrix%283%2C1%2C1%2C2%2C1%29%29