Let A be the matrix, A = 2 (a) Show that [ 1 -1 ] is an eigenvector of A and find the corresponding eigenvalue. b) Find the other eigenvalue and a corresponding eigenvector. c) Using the results in a) and b), or otherwise, solve the vector-matrix differential equation given that x(0) = [1 1]". x = <- [1 −4] ×, X,

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