Linear Algebra

Consider the following system of linear equations:
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?

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

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  2. Thank you!

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