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7. Answer the following questions. (a) How many 4 by 4 permutation matrices have det (P) = 1 ? (b) Find one 4 by 4

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7. Answer the following questions. (a) How many 4 by 4 permutation matrices have det (P) = 1 ? (b) Find one 4 by 4 permutation matrix that needs 2 row exchanges to reach the identity matrix. (c) Find the determinant of matrix A by finding all the non-zero terms in the big formula. 2 3 4 A =

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