An Introduction to Matrices

Description

This video shows how to solve equations, but the most important part of this video is displayed right in the beginning – it converts a regular set of equations into a matrix, which shows you exactly what a matrix is. A sample problem is provided, or you can simply benefit from the conversion process.

Overview

A matrix, the plural of which is matrices, is a set of numbers that form an equation. They come up in many different parts of math, and are used very commonly in Linear Algebra. They make viewing a set of equations much easier. The most important thing to remember about matrices is that everything must line up. Here is an example:

1x + 2y = 18

5x + 7z = 32

Must be rewritten as:

1x + 2y + 0z = 18

5x + 0y + 7z = 32

This way it is lined up correctly when you put it in the matrix. Some matrices have a line before the solution, to seperate it from the other numbers – this is optional. Even if it is not there, the last number is always the solution. So when you put it into a matrix, it will look like this:

{1  2  0  |  18}

{5  0  7  |  32}

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