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Math 1502 Quiz 7

April 18, 2000

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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

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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.

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Calculations

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Computations done to create problem

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Ans

This says the eigenvalues are 3 and 7, and the

coresponding eigenvectors are {1,1} and {-1,1}

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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*

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Answers

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Computations tocreate problem

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Ans

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

Converted by *Mathematica*
April 19, 2000