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(Solved):   (b) Consider the matrix ^= (i 0-2 0 10-3 (i) Show that the eigenvalues of A are A = -2 ...



(b) Consider the matrix
^= (i
0-2 0
10-3
(i) Show that the eigenvalues of A are A? = -2 and A = 5, and determine their
corres

 

(b) Consider the matrix ^= (i 0-2 0 10-3 (i) Show that the eigenvalues of A are A? = -2 and A = 5, and determine their corresponding algebraic multiplicities. (5 marks] (ii) Find the general solution of the system of ODEs given by X(t) = Ar(t). [10 marks]


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