# Mathcasts-Matrices

Below you will find a mathcast for section 3.1 and finding missing values of x and y from two matrices that are equal. In order for two matrices to be equal, they must have the same dimensions and same entries.

Example A Are the following matrices equal?

$\large \begin{pmatrix} 5&4&-2\\2&0&-3\end{pmatrix}=^{?} \begin{pmatrix} 4&5&6\\-1&0&3 \end{pmatrix}$

Solution﻿- both matrices have the same dimension, however each corresponding entry is not the same. the matrices are not equal.

$\large \begin{pmatrix} 5&4&-2\\2&0&-3\end{pmatrix}\neq \begin{pmatrix} 4&5&6\\-1&0&3 \end{pmatrix}$

Example B Find the value of x and y. You can view the screen cast to see the solutions.

## Multiplying Matrices

Example C Find the product of the matrices below:
$\begin{bmatrix}1&2&12\\12&2&1 \end{bmatrix}\cdot\begin{bmatrix} 3&4\\4&3\\5&2 \end{bmatrix}$Watch the video below to see how we take the product of matrices.