SOLUTION: Let A = [0 0 1] [8 1 0] [2 0 0] Find Y such that YA = [2 0 0] [8 1 0] [0 0 1]

Algebra ->  College  -> Linear Algebra -> SOLUTION: Let A = [0 0 1] [8 1 0] [2 0 0] Find Y such that YA = [2 0 0] [8 1 0] [0 0 1]      Log On


   

Question 842579: Let A =
[0 0 1]
[8 1 0]
[2 0 0]


Find Y such that YA =
[2 0 0]
[8 1 0]
[0 0 1]
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Y*A=Z
Y*A*A^(-1)=Z*A^(-1)
Y=Z*A^(-1)
Find the inverse of A and multiply.
A%5E%28-1%29=%28matrix%283%2C3%2C0%2C0%2C0.5%2C0%2C1%2C-4%2C1%2C0%2C0%29%29
Y=Z%2AA%5E%28-1%29=%28matrix%283%2C3%2C0%2C0%2C1%2C0%2C1%2C0%2C1%2C0%2C0%29%29