SOLUTION: solve the matrix equation AX=B for the 2x2 matrix X: A 2 -7 -1 4 ] x= B -21 3 12 -2

Algebra ->  College  -> Linear Algebra -> SOLUTION: solve the matrix equation AX=B for the 2x2 matrix X: A 2 -7 -1 4 ] x= B -21 3 12 -2       Log On


   



Question 362877: solve the matrix equation AX=B for the 2x2 matrix X:
A
2 -7
-1 4 ] x=

B
-21 3
12 -2

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
[A]=%28matrix%282%2C2%2C2%2C-7%2C-1%2C4%29%29
[B]=%28matrix%282%2C2%2C-21%2C3%2C12%2C-2%29%29
.
.
.
[A][X]=[B]
[X]=[A]inv[B]
.
.
.
det[A]=1
.
.
.
[A]inv=%28matrix%282%2C2%2C4%2C7%2C1%2C2%29%29
.
.
.
[X]=[A]inv[B]=%28matrix%282%2C2%2C0%2C-2%2C3%2C-1%29%29