❖ This tutorial lesson provides a basic introduction to Multiplying Matrices. Also, this lesson contains many examples and practice problems on Matrix Multiplication.

❖ Any matrix can only be multiplied by another matrix if

The number of columns of the first matrix \(=\) The number of rows of the second matrix.

Otherwise, the answer will be undefined.

❖ Multiplication process (\(AB\)):

Multiply each row from the \(1\)st matrix (\(A\)) by each column from the \(2\)nd matrix (\(B\)), and considering we will get only one element from each process.

The size of the new matrix (\(AB\)) is based on the number of rows of the first matrix (\(A\)) and the number of columns in the second matrix (\(B\))

❖ The number of rows and columns that a matrix has is called its size, its order, or its dimension.