MATH 2211 Quiz: Quiz9Spr11mt210Sample1Ans
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A = a b c d e f g h i and assume that det(a) = 10. Find det(3a), det(2a 1) and a g d h e c f det . By the properties of determinants, det(3a) = 33det(a) = 27 10 = 270, det(2a 1) = 23(1/det(a)) = 8/10. A = a b c d e f g h i. / b = a b c g h i d e f. Bt = a g d h e c f i. Thus, det(bt) = det(b) = ( 1)det(a) = 10.
