pseudo.py

def matrix_multiplication(matrix1, matrix2):

    # m * n x n * p => m * p
    m = matrix1.width
    n1 = matrix1.height

    n2 = matrix2.width
    p = matrix2.height

    # if the n's of the matrices don't match then fail
    if (n1 != n2):
        fail("Invalid matrix dimensions! Expected {n1} columns in second argument, but only received {n2}.")

    # create 2d array
    output = new int[m][p]

    for column x in output:
        for row y in output:
            output[x][y] = product(matrix1.getColumn(x)) + product(matrix2.getRow(y))

    return output