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Please help me explain thoroughly about the solution of this task. Thank you. 9. 2. For an nxn matrix A, if A = A, then

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Please help me explain thoroughly about the solution of this task. Thank you.

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9. 2. For an nxn matrix A, if A = A, then A is said to be idempotent. a) When A is idempotent, show that 3| - A is reversible and find (3| - A)_4 b) Prove that only the n x n reversible matrix In is idempotent

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