Question: (a) Write out the characteristic equation for the matrix (b) Show that, given any 3 numbers a, b, and c, there is a 3 x

(a) Write out the characteristic equation for the matrix
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(b) Show that, given any 3 numbers a, b, and c, there is a 3 x 3 matrix with characteristic equation - λ3 + a λ2 + b λ + c = 0.

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