m_1 = [1, 2
       3, 4]

m_2 = [1, 2
       3, 4
       5, 6]

m_3 = [1, 2, 3
       4, 5, 6]

m_4 = [1, 2, 3
       4, 5, 6
       7, 8, 9]

m_1^T = [1, 3
         2, 4] and

m_2^T = [1, 3, 5
         2, 4, 6] and

m_3^T = [1, 4
         2, 5
         3, 6] and

m_4^T = [1, 4, 7
         2, 5, 8
         3, 6, 9]