SOLUTION: 2x-y-3z=1, 4x+3y+2z=-4, -3x+2y+5z=-3 solve for x,y, and z

Algebra ->  Equations -> SOLUTION: 2x-y-3z=1, 4x+3y+2z=-4, -3x+2y+5z=-3 solve for x,y, and z      Log On


   

Question 356625: 2x-y-3z=1, 4x+3y+2z=-4, -3x+2y+5z=-3 solve for x,y, and z
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
[A]=%28matrix%283%2C3%2C2%2C-1%2C-3%2C4%2C3%2C2%2C-3%2C2%2C5%29%29
[x]=%28matrix%283%2C1%2Cx%2Cy%2Cz%29%29
[b]=%28matrix%283%2C1%2C1%2C-4%2C-3%29%29
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[A][x]=[b]
[x]=[A]inv[b]
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det[A]=-3
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[A]inv=-%281%2F3%29%2A%28matrix%283%2C3%2C11%2C-1%2C7%2C-26%2C1%2C-16%2C17%2C-1%2C10%29%29
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[x]=[A]inv[b]=
[x]=%28matrix%283%2C1%2C2%2C-6%2C3%29%29