First, I need to tell you about determinants. We'll be using these to solve systems.
Say you've got a 2 x 2:
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We can make something called a "coefficient matrix":
![a coefficient matrix ... [ top row: 1 , -3 bottom row: 5 , 7 ]](/sites/default/files/images/01-determinants-03.gif)
A matrix is just a grid of numbers with brackets around them. (Remember that a coefficient is the number in front of the variable... x = 1x, so the coefficient is 1.) (We'll learn more about these matrix things in the next chapter.)
We've got rows and columns of the matrix: