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Idempotent Matrix

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The sum of the idempotent matrices A and B is idempotent if :

Let A and b are two square idempotent matrices such that ABpm BA is a null matrix, the value of det (A - B) cannot be equal

"Let "A" and "B" are two square idempotent matrices such that (AB+-BA) is a null matrix,then Sum of all possible values of det(A+B)" is"

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In which of the following type of matrix inverse does not exist always? a. idempotent b. orthogonal c. involuntary d. none of these

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