405q2 - of unknown eigenvectors ~x : y 1 =-3 y 1 + y 2 y 2...

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MATH 405: Quiz 2 Name: September 22, 2006 1. Given the matrix: A = 1 7 8 0 21 7 1 3 49 decompose it as A = S + T , where S is a symmetric matrix and T is skew-symmetric. 2. Find a general solution y 1 ( t ) and y 2 ( t ) for the following differential equations in terms
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Unformatted text preview: of unknown eigenvectors ~x : y 1 =-3 y 1 + y 2 y 2 = y 1-3 y 2 Then nd the eigenvector for the more stable eigenvalue ( < 0 with | | largest)....
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