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Let A be a 6 x 6 matrix with characteristic polynomial det (?I - A)...

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Algebra

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Let A be a 6 x 6 matrix with characteristic polynomial det (?I - A) = ?(?+3)(?-2).Which of the following statements are True? Select ALL that apply.The matrix ? is invertible.If the eigenvalue ? = 2 has geometric multiplicity equal to 3, then ? is diagonalizable.The eigenvalue ? = -3 has geometric multiplicity equal to 1.The eigenvalue ? = 2 has algebraic multiplicity equal to 3.

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