Multiplying Matrices

In this lesson, we learn how to multiply matrices. In order to multiply two matrices together, the number of columns from the first matrix (leftmost) must be equal to the number of rows from the second matrix (rightmost). Once we have confirmed this fact, we set up a matrix for our product with the number of rows from the first matrix (leftmost) and the number of columns from the second matrix (rightmost). To find each element in the product matrix, we determine the row and column information of the element. We then want to find the dot product of the row from the first matrix (leftmost) and the column of the second matrix (rightmost).