CSCE 4230  Homework #1


        Due date:  Tuesday, 02/10/2009



         Let A and B denote 2 by 2 matrices, and let c and d denote column
         vectors in 2-space.

              [a11  a12]          [b11  b12]          [c1]          [d1]
         A =  [        ]     B =  [        ]     c =  [  ]     d =  [  ]
              [a21  a22]          [b21  b22]          [c2]          [d2]



         Specify the following values:


         1)  Vector sum  c+d =



         2)  Matrix sum  A+B =



         3)  Matrix-vector product  A*c =



         4)  Matrix-matrix product  A*B =



         5)  Matrix transpose  A^T  =



         6)  Dot product  <c,d> =



         7)  Determinant  |A| =



         8)  Matrix inverse  A^(-1)  =



         9)  Identity matrix  I =