MA 2071 A '01 Final Exam Name: .

Section Number:.

 Problem 1 2 3 4 5 Total Value 20 30 10 20 20 100 Earned

1. Find the eigenvalues and eigenvectors of the following matrix. You must show your work.

Then use your results to find a matrix such that is a diagonal matrix.

2. Use Gauss-Jordan elimination to solve the following linear system.

3. Suppose that is a linear transformation of into . Given the following information,

compute , where