Show that the following matrices are idempotent:If A = [[2, -... | Filo
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(2 points) A square matrix A is idempotent if A^2 = A.Let V be the vector space of all 2 x 2 matrices withreal entries. Let H be the set of all 2 x 2 idempotentmatrices with real entries. Is H a subspace of thevector space V?1. Is H nonempty?choose2. Is H closed under addition? If it is, enterCLOSED. If it is not, enter two matrices in Hwhose sum is not in H, using a commaseparated list and syntax such as[[1,2],[3,4]], [[5,6],[7,8]] for the answer, . (Hint: to show that H isnot closed under
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