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### Course: Precalculus>Unit 7

Lesson 12: Representing systems of equations with matrices

# Representing systems of any number of equations with matrices

In a previous videos, we saw how to represent a system with 3 equations and variables as a single matrix equation. It turns out we can do the same for a system of n equations and variables. The resulting equation will be Ax=b, where A is an nXn matrix, x is an nX1 unknown vector, and b is the nX1 constant vector. Created by Sal Khan.

## Want to join the conversation?

• But how would we solve it though, and is this method superior to substitution/elimination?
• So it would best you learn the gaussian elimination first before asking question about it.

But to answer your question gaussian elimination provides systematic way of solving systems of equation so it is superior in that sense.