So far, we have only multiplied a matrix by a column vector. But now, we will multiply a matrix A with another matrix B.
There are four simple rules that will help us in multiplying matrices, listed here:
- Firstly, we can only multiply two matrices when the number of columns in matrix A is equal to the number of rows in matrix B.
- Secondly, the first row of matrix A multiplied by the first column of matrix B gives us the first element in the matrix AB, and so on.
- Thirdly, when multiplying, order matters—specifically, AB ≠ BA.
- Lastly, the element at row i, column j is the product of the ith row of matrix A and the jth column of matrix B.
Let's multiply an arbitrary 4x5 matrix with an arbitrary 5x6 matrix, as follows: ...
