If we keep the same logic as above while varying the value of A and B, but knowing that C is the matrix product and D is the element by element matrix multiplication. The following code allows finding a matrix product in Matlab C=A*BĪnd this one is the code to find the product of matrices, element by element C=A.*B Matrix multiplication examples Example 1 To be more specific, if A is an n × m matrix, B has to be an n × m matrix for this to work. Technical details on Matrix multiplication: So why is Matlab (the MKL) so fast at dgemm (double-precision general matrix-matrix multiplication) In simple. This definition says that C (i,j) is the inner product of the i th row of A with the j th column of B. If A is an m-by-p and B is a p-by-n matrix, then C is an m-by-n matrix defined by C ( i, j) k 1 p A ( i, k) B ( k, j). It is simply the product of matrices, element by element, this type works only when the dimensions of the matrices are equal. Description example C AB is the matrix product of A and B. ![]() ![]() ![]() In the other side, we have the element by element matrix multiplication, which is rather a straightforward operation, here is the formula used. Generally speaking, if A is an n × m matrix and B is an m × p matrix, their matrix product AB is an n × p matrix, in which the m elements across the rows of A are multiplied with the m elements down the columns of B Matrix multiplication element by element
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