HW7-510-soln - AMS 510 HW7 Solution 2.39 7 14 21 105 98 (a)...

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AMS 510 HW7 Solution 2.39 (a) AB = 7 14 39 28 , AB C = 21 105 98 17 285 296 (b) BC = 5 15 20 8 60 59 , A BC = 21 105 98 17 285 296 2.41 (a) A T = 1 3 2 4 , (b) B T = 5 6 0 7 , (c) AB T = 7 39 14 28 , (d) A T B T = 5 15 10 40 2.51 (a) A 2 = 11 15 9 14 , A 3 = 67 40 24 59 (b) f A = 50 70 42 36 , g A = 0 0 0 0 2.60 (a) A n = 1 2 n 0 1 B n = 1 n n n– 1 2 0 1 n 0 0 1 2.64 1 a b 0 3 c 0 0 2  1 a b 0 3 c 0 0 2 = 1 4 a b ac 2 b 0 9 5 c 0 0 4 a = 2 b = 1 c = 1 so matrix is 1 2 1 0 3 1 0 0 2 2.68 (a) x = 4, y = 1, z = 3 (b) x = 0, y = 6, z is arbitrary. 2.69 (a) A A T T = A T  A T T = A T A (b) A A T T = A T − A T T = A T A =− A A T (c) A = 1 2 A A T  1 2 A A T  ⇒ B = 1 2 A A T , C = 1 2 A A T 2.76
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A H = 3 3 2i
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HW7-510-soln - AMS 510 HW7 Solution 2.39 7 14 21 105 98 (a)...

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