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Type 2: Multiplication of two matrices.
Type 2: Multiplication of two matrices.
*We can do the matrix multiplication when the number of columns in the first matrix equals the number of rows in the second matrix.
*We can do the matrix multiplication when the number of columns in the first matrix equals the number of rows in the second matrix.
*For e.g. 4x2 matrix can multiply with 2x3. The matrix product of two arrays <math>a</math> and <math>b</math> is <math>xij= \sum_{k=1}^n aik.bkj</math>, where <math>i</math> is the row number and <math>j</math> is the column number.
*For e.g. 4x2 matrix can multiply with 2x3. The matrix product of two arrays <math>a</math> and <math>b</math> is: <math>xij= \sum_{k=1}^n aik.bkj</math>, where <math>i</math> is the row number and <math>j</math> is the column number.
*i.e Multiply the elements of each row of 1st matrix by elements of each column of 2nd matrix.
*i.e Multiply the elements of each row of 1st matrix by elements of each column of 2nd matrix.
*So the resultant matrix is of the order: Rows of 1st matrix × Columns of 2nd.
*So the resultant matrix is of the order: Rows of 1st matrix × Columns of 2nd.