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Doing the computations by hand, find the determinant of the matrix A

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Doing the computations by hand, find the determinant of the matrix A.

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With two zeros in column 2, we choose to expand about that column (Theorem DEC),

= (1) (2(1(1) 2(2)) 3(3(1) 5(2)) + 2(3(2) 5(1))) (3) (2(2(2) 4(1)) 3(5(2) 4(3)) + 2(5(1) 3(2)))

= (6 + 21 + 2) + (3)(0 + 6 2) = 29

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