quiz13 - consider x 1 ( t ) = 2x 1 ( t ) + x 2 ( t ) , x 2...

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MATH 262 quiz 13 March 22, Spring 2010 Name: Section: NO CREDIT WILL BE GIVEN IF YOU EITHER SHOW YOUR ANSWERS TO OTHERS OR YOU COPY FROM OTHERS. THIS QUIZ SHOULD BE DONE BY YOURSELF. 1. (5 points) Find two eigenvalues λ 1 2 and their corresponding eigenvectors v λ 1 , v λ 2 for A = ± 2 1 - 3 - 2 ² . In order to see how eigenvalues and eigenvectors help solving a differential equation,
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Unformatted text preview: consider x 1 ( t ) = 2x 1 ( t ) + x 2 ( t ) , x 2 ( t ) = -3x 1 ( t ) -2x 2 ( t ) . Verify that x ( t ) = v 1 e 1 t , v 1 e 1 t are solutions of the above system of equations, i.e. x ( t ) = A x ( t ) ....
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This note was uploaded on 08/29/2010 for the course LIN ALG DI 26200 taught by Professor Jinhaepark during the Spring '10 term at Purdue University Calumet.

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