Steps in Multiplication
By the definitions on the previous page,
multiplication always involves
dot products of rows on the left with columns on
To do any of these calculations:
- Examine the dimensions of the operands.
- The inner dimensions must be equal, eg., 1xN and NxC.
- "Cancel" the inner dimensions to find the dimensions of
the result, eg., 1xC.
- Write an empty result with the correct dimensions.
- Now fill in each element of the result.
- Each column on the right is "flipped" onto a row on the left.
- Each element of the result is a dot product.
Is Ax equal to xA ?