(Answered) 1 this question concerns the linear transformation

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1) This question concerns the linear transformation represented by a 3x3 matrix of real numbers.

With respect to the standard basis in both the domain and codomain.

(a) Determine the characteristic polynomial for A.

(b) Show that lambda = 1 is an eigenvalue and find the remaining eigenvalues of A.

(d) Write down a matrix P and a diagonal matrix D such that (P^-1)AP=D

(e) Hence verify that (P^-1)AP=D by matrix multiplication.

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