def generate_matrix(m, criteria):
    r = np.zeros((m, m))
    count = len(criteria)
    for i in range(count):
        generate_column(r, i, criteria[i][0], criteria[i][1])

    return r


def generate_column(matrix, column, start, stop):
    [m, n] = matrix.shape
    for i in range(m):
        matrix[i][column] = random.randint(start, stop)


size = 3
criteria = ([1, 2], [6, 8], [10, 15])

r = generate_matrix(size, criteria)

print(r)