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Calculus Solutions 21

# Calculus Solutions 21 - A-20 Answers to Odd-Numbered...

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A-20 Answers to Odd-Numbered Problems 15 ad - bc = -2 so A-l = [ :; -:; ] 17 Are parallel; multiple; the same; infinite 19 Multiples of each other; in the same direction as the columns; infinite 21 dl = .34, d2 = 4.91 23 .96x + .02y = .58, .O4x + .98y = 4.92; D = .94,x = .5, y = 5 25 a = 1 gives any x = -y; a = -1 gives any x = y -: ] ; D 27 D = - 2 , ~ - l = -1 - = -8, (2A)-' = +A-'; D = -2 ' (Aw1)-' = original A; L .I D = -2 (not +2), (-A)-' = -A-'; D = 1, I-' = I 39 Line 4 + t, errors -1,2, -1 41 dl - 2d2 + ds = 0 43 A-' can't multiply 0 and produce u Section 11.5 Linear Algebra 0 -1 5 det A = 0, add 3 equations -, 0 = 1 7 5 a + l b + O c = d , A V 1 = 9 b x c; a . b x c = 0; determinant is zero 11 6, 2, 0; product of diagonal entries
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