7. The characteristic equation for square matrix A is the equation det (A-AI)=0. The scalars that satisfy this equation are called eigenvalues of matrix A. (You will encounter this in 2nd year.) Let A = values of A. 3 -2 1 2 -4 3 16-4 Obtain the characteristic equation for A. Hence find the eigen- (Ans: A3 13A+12=0; x=-4, 1, 3)

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