HW6 - 60M - S06 - MW

Handed out We 5-31
Due        Tu 6-6 in class
Hand in printout of active work sheet


1) Create a list of equations from:
-2x+y-2z=4, 2x-4y-2z=-4, x-4y-2z=3.
Solve the system of equations using "solve".
Check your solution.
Convert the system into matrix form using "GenerateMatrix".
Solve the system again using "LinearSolve".
Check the solution again using matrix operations.

2) Let f(x)= (-1-2x)/(-4+x).
Compute the inverse g of this function.
Check that f and g are inverses of each other
by applying them one after the other in both orders.
Plot both functions in one plot using meaningful ranges
and helpful shadings. Also plot the reflections axis, a(x)=x.

3) Define a procedure for computing the following
functions:
g(x)  =    x, 0 <= x < 1
           1, 0 <= x < 2
         3-x, 2 <= x < 3
      g(x-3), x >= 3

Plot the function in the range 0..12.