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n your answers show all your calculations When solving a system of linear equations you...

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Algebra

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n your answers show all your calculations When solving a system of linear equations you m irstly form the augmented matrix and solve the matrix by using row reductions Show all yo eductions step by step Answers that are written directly without the proper solution steps a alculations will be given partial or no credit 3 Let T be a linear operator on a finite dimensional vector space with a matrix representation 2 0 0 A 12 6 4 6 2 01 a Find the eigenvectors of A Find the dimension of each eigenspace of A b Using the result of a explain why the operator T is diagonalizable c Find a matrix P and diagonal matrix D such that D P AP d Find two other matrices P and P and corresponding diagonal matrices D and D such that D P AP and D P AP2

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