1. On pages 135–6, do problems 6, 7 and 11.

2. Read and do the Maple example for stepping through Gauss elimination.
   This example also shows how to use Maple to step through the Gauss elimination process. You may then use Maple to check your steps on the homework assignments. However, use this only as a tool to check your steps in the preceding assignment.

   
   On the problems below, make sure you use Gauss elimination exactly as it was presented in class and NOT in a manner that you might have learned in a different course.

3. Do problem 136:13. Use Gauss elimination as presented in class.

4. Use Gauss elimination as presented in class to solve the system:

   4 7 12 44 62 140 80 –55 354

   x1 x2 x3

   =

   60 516 –702

   Answer:

   x₁ = 10,   x₂ = 8,   x₃ = –3

5. Use Gauss elimination as presented in class to solve the system:

   5 12 7 –3 –15 –44 –12 13 40 144 11 –37 30 –40 150 17

   x1 x2 x3 x4

   =

   20 220 –1332 3668

   Answer:

   x₁ = 20,   x₂ = –15,   x₃ = 16,   x₄ = 4

6. Use Gauss elimination as presented in class to solve the system represented by the augmented matrix in Problem 6 on page 135.
   There is no need to calculate those entries that we know should equal zero.

   Answer:

   x₁ = 1.3486 5900 3831 4176
   x₂ = 2.0076 6283 5249 0421
   x₃ = 0.9501 9157 0881 2261
   x₄ = 0.5095 7854 4061 3027

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