1.4.1: Conformability for multiplication of matrices


Two matrices A and B are said to be conformable for multiplication AB, only when the number of columns of matrix A is equal to the number of rows of matrix B. The product AB, which is not the same as the product BA, is conformable for multiplication only if A is an "m x p" and matrix B is a "p x n" matrix. The product AB will then be an "m x n" matrix.

                                                       Thus to multiply two matrices A and B to get product AB, this operation can be done by multiplication of each element of row of a matrix A with the corresponding element of column of the matrix B.

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