Consider the following system of linear equations:

Question

2x1+2x2+4x3 = −12
x1+6x2−8x3 = −6
x1−2x2+9x3 = −8

Let A be the coefficient matrix and X the solution matrix to the system. Solve the system by first computing A−1 and then using it to find X.

I have solved inverse A, how do I apply it to find X?

Answer 1

since Ax = B
A^-1 AX = A^-1 B
X = A^-1 B

Answer 2

Thank you!