Question: Let 2 l 0 A = 1 2 l 0 l 2 (a) Derive the characteristic equation of A. Evaluate the relevant determinant using Laplace-expansion

Let 2 l 0 A = 1 2 l 0 l 2 (a) Derive the characteristic equation of A. Evaluate the relevant determinant using Laplace-expansion by row 1.Report all steps in the process. No marks will be awarded for an unsupported answer. (b) Derive the eigenvalues of A. Report all steps in the process. No marks will be awarded for an unsupported answer. (c) What is the trace of A5 ? Hint: It is not necessary to compute A5 in order to answer this question. ((1) Derive an eigenvector of unit length corresponding to the largest eigenvalue of A. Report all steps in the process. No marks will be awarded for an unsupported

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