This series of worksheets explores matrix mathematics which is found within a rectangular array of numbers.

#### A matrix is a set of number or symbols that are arranged in rows and columns. Kind of like really small spreadsheets. A matrix can also contain expressions. Matrices often are a good option for working with multiple linear equations. We can often carry out operations between two matrices. Addition between two of them is pretty simple, as long as the matrices are the same size. You just need to add the values of matching positions. Subtraction follows the same pattern as addition. Multiplication is a bit more difficult and requires you to understand the dot product. We save that for that section of worksheets. The application of matrices math is a pivotal to rendering every single computer generated illusionary image you have ever seen, thus far. The math used helps determine the x, y, and even z position of the object and its movement. Basic matrix calculations also help electricians under the inner working of electric circuits. Matrix math has endless application in construction and textile design.

Matrices have been stumping students since the mid-19th century when it first discovered that they could be used to represent linear transformations. Even though a matrix is seen as a rectangular array they also come in several different forms. The most popular being rows, columns, squares, and diagonals. The worksheets in this section will help you learn how to apply basic operations to a matrix and series of them. They also demonstrate how to convert a matrix to other systems and how they relate within that system. Each section of matrix worksheets consists of a full step-by-step lesson, guided lessons, practice worksheets, and a quiz. We encourage you to walk through each progression at your own pace.

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## Addition of Matrices

As long as the matrices are the same size (i.e. 2x2, 3x3) you just add the matching positions.

## Determinants in a 2 x 2 Matrix

When we want to understand the nature of a matrix, we calculate the determinants. In two by two matrices the determinant is a times d minus b times c.

## Determinants in a 3 x 3 Matrix

To find this value in this form of matrix we need to multiply each layer by a two by two matrix found within the set. We will show you how to perform this.

## Multiplication of Matrices

If you are multiplying a matrix by a constant, that is pretty simple. When you multiply matrices together, that gets a bit complicated.

## Solve the Matrix Equation

Most of them are solved through the use of matrix addition or multiplying by a scalar.

## Subtraction of Matrices

Subtraction is very similar to addition. If both matrices are the same size, just subtract the matching positions.

## The Discriminant

You will find in some situations that the determinant of a matrix is equal to the discriminant, so we thought it important to bring it to your attention in this section.

## Write Matrices as Linear Equations

When you are moving to more complex math this form of notation is very helpful and can help you work with very large data sets.