Question

-5 -2Let A be the matrix, A =(-5/3,-2/0) (a) Show that{ 2 -3 } is an eigenvector of A and find the correspondingeigenvalue. (b) Find the other eigenvalue and a

corresponding eigenvector. (c) Using the results in a) and b), or otherwise, solve the vector-matrix differen-tial equation given that x(0) = {1 -2}.

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