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Problems for Sections 9.1 and 9.2

1. Solve the following system by determinants, that is, by using Cramer's rule.
 

9x - 7y = 11
5x + 2y = -4

2. Show by determinants that the following system has no solution.
 

15x + 20y = -13
21x + 28y = 5

3. Solve the system given in the example of Section 9.2.

4. Use Cramer's rule to solve the following system:
 

7x - 3y - z = 0
2x - 2y + z = 5
-x + y + 2z = 25

5. Use Cramer's rule to solve the following system:
 

   x - y + 3z = 15
2x - 4y + z = 6
3x + 3y - 6z = -3
 
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Wednesday, June 10, 1998