MATLAB - Matrix Multiplication

Consider two matrices A and B. If A is an m x n matrix and B is an n x p matrix, they could be multiplied together to produce an m x p matrix C. Matrix multiplication is possible only if the number of columns n in A is equal to the number of rows n in B.

In matrix multiplication, the elements of the rows in the first matrix are multiplied with corresponding columns in the second matrix.

Each element in the (i, j)^th position, in the resulting matrix C, is the summation of the products of elements in i^th row of first matrix with the corresponding element in the j^th column of the second matrix.

Matrix multiplication in MATLAB is performed by using the * operator.

Example

Create a script file with the following code −

a = [ 1 2 3; 2 3 4; 1 2 5]
b = [ 2 1 3 ; 5 0 -2; 2 3 -1]
prod = a * b

When you run the file, it displays the following result −

a =
      1     2     3
      2     3     4
      1     2     5
b =
      2     1     3
      5     0    -2
      2     3    -1
prod =
      18    10    -4
      27    14    -4
      22    16    -6