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# Solve Systems using Inverse Matrices

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Author: Zach Cresswell

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Tutorial

## Solve Systems using matrices

Source: Khan Academy - Sal Khan

## More TIps

This same method works for 3 equations and 3 unknowns! Or More!

In other words, in the system:

3x+2y-z=1

1x+4y-5z=15

-6x+4y-7z = -4

We could set up the matrix equation:

To solve:

A-1A X = A-1 B  (Order matters! You cannot multiply B(A-1)

X = A-1