Question: [16points]LetA=301704001 1. (a) Write down the characteristic polynomial for A (factored form is fine). (b) Find the eigenvalues of A by solving the characteristic equation.

[16points]LetA=301704001 1. (a) Write down the characteristic polynomial for A (factored form is fine). (b) Find the eigenvalues of A by solving the characteristic equation. (c) One of the cigenvalues of A is 1=3. Find an eigenvector for this eigenvalue. (d) Is A diagonalizable? Explain why or why not

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