SOLUTION: Find the inverse of the matrix if it exists. A= [2,-1,0] [2,1,0] [0,0,1] A^-1=

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Question 626892: Find the inverse of the matrix if it exists.
A=
[2,-1,0]
[2,1,0]
[0,0,1]
A^-1=
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

A=%28matrix%283%2C3%2Ca1%2Cb1%2Cc1%2Ca2%2Cb2%2Cc2%2Ca3%2Cb3%2Cc3%29%29 =%28matrix%283%2C3%2C2%2C-1%2C0%2C2%2C1%2C0%2C0%2C0%2C1%29%29

I. find value of determinant =  a1(b2c3-c2b3) - b1(a2c3-c2a3) + c1(a2b3-b2a3) = 4

II. Then Apply formula for the Inverse:

A%5E%28-1%29 = +1%2Fd



A%5E%28-1%29  = 1%2F4%28matrix%283%2C3%2C1%2C1%2C0%2C-2%2C2%2C0%2C0%2C0%2C4%29%29