We use the `AB` multiplication rule to get Since `A` has three columns and `B` has three rows, we know we can multiply these matrices to get a new matrix. ExamplesĬonsider the following matrices `A` and `B`: Multiply rows times columns by multiplying corresponding elements and adding" (Williams, 37). "Interpret the first matrix of a product in terms of its rows and the second in terms of its columns. The matrix multiplication rule is as follows: Otherwise, the product `AB` of two matrices does not exist. In order for us to be able to multiply two matrices together, the number of columns in `A` has to be equal to the number of rows in `B`. Multiplying matrices is done by multiplying the rows of the first matrix with the columns of the second matrix in a systematic manner.
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