Question: The Laplace transform was applied to the initial value problem y'= Ay, y(0) - 9/1,0 yo A is a 2 x 2 constant matrix,

The Laplace transform was applied to the initial value problem y'= Ay,

The Laplace transform was applied to the initial value problem y'= Ay, y(0) - 9/1,0 yo A is a 2 x 2 constant matrix, and yo= The following transform domain solution was obtained where y(t) = [(0)] 9/2(t) 92,0 1 8-2 -1 Cy(t) = Y(s) 82-98+18 4 8-7 (a) what are the eigenvalues of A? (b) Find A. 1,0 V/2,0

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