In each problem below, (a) find the determinant of the coefficient matrix A, (b) if A is invertible,
find the inverse of A by row reducing an appropriate augmented matrix and check your answer,
(c) if A is invertible, use your answer in (b) to solve the system of equations and check your answer.
Note that you must show all your work on each problem to get full credit.

Problem 1.

Name _______________________         Linear Algebra, Sample Quiz 2, Spring 2004          Page 2

Problem 2.

Name _______________________         Linear Algebra, Sample Quiz 2, Spring 2004          Page 3

Problem 3.