Math 1502 Quiz 7
April 18, 2000

Name: ____________________________

Section: Circle One:
Section A1:Lindsay Bates.Classroom:Skiles 202
Section A2:Eric Forgoston.Classroom:Skiles 246
Section A3:Mohammed Sinnokrot.Classroom:Skilkes 256
Section A4:Kasso Okoudjou.Classroom:Skiles
Section A5:Marcus Sammer. Skiles 140

Open Book and Notes.  Carefully explain your proceedures and answers. Calculators allowed, but answers mush be
exact.   Quiz Time --- 30 minutes

Problem 1 (10  points)

Find the eigenvalues and eigenvectors (you need on ly to find an eigenvector for each eigenvalue) for the matrix  A =  .   Use these results to find . Leave in the form of a matrix   product.

Calculations

Ans

This says the eigenvalues are 3 and 7, and the
coresponding eigenvectors are {1,1} and {-1,1}

Problem  2 (5 Points )

Find the eigenvalues and a set of three linearly independent eigenvectors of A.

Find matrices U and D such that A =  U D

Answers

Ans

Note: The Eigenvalues are 0, 2 and 2. The eigenvectors for 2 are not uniques in any way.