V.11:12 (496-499): SIDEBAR: MATRIX MULTIPLICATION
Product Description
MATRIX MULTIPLICATION
If matrix A is size (m × n) and matrix B is size (n × k), then the product of matrix A times matrix B is another matrix, AB, of size (m × k). To find the element of the ith row and jth column of the product matrix, multiply each element of the ith row of A by the corresponding element in the jth column of B and then add these products.
Example: Find the product of matrices A and B. (Matrix A and B are identical because we want to multiply matrix A by itself.)
If matrix A is size (m × n) and matrix B is size (n × k), then the product of matrix A times matrix B is another matrix, AB, of size (m × k). To find the element of the ith row and jth column of the product matrix, multiply each element of the ith row of A by the corresponding element in the jth column of B and then add these products.
Example: Find the product of matrices A and B. (Matrix A and B are identical because we want to multiply matrix A by itself.)
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