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Unformatted text preview: . 7 . 1 . 2 . (-1) =-14. (2) If 4 4 matrics A and B have det ( A ) = 10 and det ( B ) = 2 compute the determinants of (a) 2 B Solution: det (2 B ) = 2 4 det ( B ) = 32. (b) A-1 B Solution: det ( A-1 B ) = det ( B ) /det ( A ) = 2 / 10 (c) the matrix you get if you switch rows 2 and 3 in B . Solution: One row switch changes the sign of the determinant by (-1) 1 . Thus the newdeterminant is-2....
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