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Please show work clearly 1: Consider the 4 x 4 matrix 2 2 0 0 B = 0 0 3 0 0 0 25 0

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1: Consider the 4 x 4 matrix 2 2 0 0 B = 0 0 3 0 0 0 25 0 0 0 0 la: The rank of B = ? The nullity of B = _? (Explain!) 1b: What are the eigenvalues of B? (Explain your reasoning!) 1c: Is B diagonalizable? (Justify!)

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