(Math 221 Version)

**1.** Use Maple to calculate
*A*^{3} *v*_{1} + 3 *v*_{2} where

**2.** Let A be the matrix

Calculate

**3.** Use the row operations package to solve the system of linear
equations:

( Samples using the row operations package are located in the file

**4.** Now use Use Maple's solve command on the above system. (This
is easier, but probably less instructive ....) There is also
a linsolve command in Maple which could also do this in one step.

**5.** For each of the following matrices A, describe all 2 x 2
matrices B so that *A B* - *B A* = 0:

**a)**-

**b)**-

**c)**-

**d)**-

**e)**-