SOLUTION: Find the inverse of the matrix [3 -1] it's a 2 by 2. [-10 9]

Algebra ->  Matrices-and-determiminant -> SOLUTION: Find the inverse of the matrix [3 -1] it's a 2 by 2. [-10 9]       Log On


   

Question 991823: Find the inverse of the matrix [3 -1] it's a 2 by 2.
[-10 9]
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The inverse of a 2x2 matrix,
A=%28matrix%282%2C2%2Ca%2Cb%2Cc%2Cd%29%29 is equal to the determinant,
D=1%2F%28ad-bc%29 multiplied by the matrix
M=%28matrix%282%2C2%2Cd%2C-b%2C-c%2Ca%29%29
Just substitute the values.
A%5E%28-1%29=D%2AM