SOLUTION: Find the inverse of the following matrix, the inverse exists. A = [2 1 0] [0 3 1] [1 0 -1] Solve the matrix AX = B for x using the given matrices. A =

Algebra ->  Matrices-and-determiminant -> SOLUTION: Find the inverse of the following matrix, the inverse exists. A = [2 1 0] [0 3 1] [1 0 -1] Solve the matrix AX = B for x using the given matrices. A =       Log On


   

Question 317368: Find the inverse of the following matrix, the inverse exists.
A = [2 1 0]
[0 3 1]
[1 0 -1]

Solve the matrix AX = B for x using the given matrices.
A = [1 0 2]
[-1 1 0]
[3 0 4]
B = [8]
[4]
[-6]
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
[A]=%28matrix%283%2C3%2C2%2C1%2C0%2C0%2C3%2C1%2C1%2C0%2C-1%29%29
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det[A]=-5
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[A]inv=-%281%2F5%29%2A%28matrix%283%2C3%2C-3%2C1%2C1%2C1%2C-2%2C-2%2C-3%2C1%2C6%29%29
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[A]=%28matrix%283%2C3%2C1%2C0%2C2%2C-1%2C1%2C0%2C3%2C0%2C4%29%29
[x]=%28matrix%283%2C1%2Cx%2Cy%2Cz%29%29
[b]=%28matrix%283%2C1%2C8%2C4%2C-6%29%29
det[A]=-2
[A]inv=-%281%2F2%29%2A%28matrix%283%2C3%2C4%2C0%2C-2%2C4%2C-2%2C-2%2C-3%2C0%2C1%29%29
[x]=%28matrix%283%2C1%2C-22%2C-18%2C15%29%29