When multiplying two matrices (A and B) to obtain the product AB = C, first pick any position in
the product matrix.
In the sample below, you can pick the position by moving your mouse over that position.
Next, match the row of your chosen position with the row of A (the left factor), and match the
column of your chosen position with the column of B (the right factor). If the lengths of the
row and column differ, then the product does not exist. If the lengths of the row and column are
the same, then multiply their corresponding numbers in pairs, left-to-right in the row, top-to-bottom in the
column. The sum of these products is the entry in the chosen position of C. The result of
combining the chosen row and column in this way is called their dot product.
In the example below, the entry (-14) in the bottom row is the sum (-2)(1) + (0)(-3) + (-3)(4).
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Move the mouse arrow
slowly across the product matrix on the right. |
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