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solution4

# solution4 - M341 Homework Solution 4 Section 2.1 1(b 3 3 2...

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3 3 2 6 4 3 2 1 1 23 38 11 1 ⟩ ← 1 3 1 1 1 2 3 6 4 3 2 1 1 23 3 38 11 2 ⟩ ← 6 1 + 2 3 ⟩ ← 2 1 + 3 1 1 2 3 0 2 1 0 1 1 3 23 3 8 13 3 2 ⟩ ← − 1 2 2 1 1 2 3 0 1 1 2 0 1 1 3 23 3 4 13 3 3 ⟩ ← ⟨ 2 + 3 1 1 2 3 0 1 1 2 0 0 1 6 23 3 4 1 3 3 ⟩ ← 6 3 1 1 2 3 0 1 1 2 0 0 1 23 3 4 2 x 3 = 2 x 2 = 4 1 2 x 3 = 5 x 1 = 23 3 + 2 3 x 3 + x 2 = 4 2 3 4 1 8 5 2 4 5 9 13 3 4 3 2 2 17 47 44 25 1 ⟩ ← − 1 2 1 1 3 2 2 1 2 8 5 2 4 5 9 13 3 4 3 2 2 17 2 47 44 25 2 ⟩ ← − 8 1 + 2 3 ⟩ ← 5 1 + 3 4 ⟩ ← 4 1 + 4 1 3 2 2 1 2 0 7 14 0 0 3 2 3 1 2 0 3 6 0 17 2 21 3 2 9 2 ⟩ ← 1 7 2 1 3 2 2 1 2 0 1 2 0 0 3 2 3 1 2 0 3 6 0 17 2 3 3 2 9 3 ⟩ ← − 3 2 2 + 3 4 ⟩ ← 3 2 + 4 1 3 2 2 1 2 0 1 2 0 0 0 0 1 2 0 0 0 0 17 2 3 3 0 3 ⟩ ← 2 3 1 3 2 2 1 2 0 1 2 0 0 0 0 1 0 0 0 0 17 2 3 6 0 x 4 = 6 x 3 = c x 2 = 3 + 2 x 3 = 3 + 2 c x 1 = 17 2 + 1 2 x 4 2 x 3 + 3 2 x 2 = 7 + c { (7 + c, 3 + 2 c, c, 6) | c R } (7 , 3 , 0 , 6) (6 , 5 , 1 , 6) (8 , 1 , 1 , 6) c = 0 , 1 1 [ 5 5 15 3 2 2 6 1 34 12 ] 1 ⟩ ← 1 5 1 [ 1 1 3 3 5 2 2 6 1 34 5 12 ] 2 ⟩ ← 2 1 + 2 [ 1 1 3 3 5 0 0 0 1 5 34 5 8 5 ] 2 ⟩ ← − 5 2 [ 1 1 3 3 5 0 0 0 1 34 5 8 ] x 4 = 8 x 3 = c x 2 = b x 1 = 34 5 + 3 5 x 4 + 3 x 3 + x 2 = 2 + 3 c + b { ( 2 + b + 3 c, b, c, 8) | b, c R }

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( 2 , 0 , 0 , 8) ( 1 , 1 , 0 , 8) (1 , 0 , 1 , 8) b = 0 , c = 0 b = 1 , c = 0 b = 0 , c = 1 (1 , 1) , (2 , 18) , ( 2 , 46) , (3 , 69) a + b + c + d = 1 8 a + 4 b + 2 c + d = 18 8 a + 4 b 2 c + d = 46 27 a + 9 b + 3 c + d = 69 1 1 1 1 8 4 2 1 8 4 2 1 27 9 3 1 1 18 46 69 2 ⟩ ← − 8 1 + 2 3 ⟩ ← 8 1 + 3 4 ⟩ ← − 27 1 + 4 1 1 1 1 0 4 6 7 0 12 6 9 0 18 24 26 1 26 54 96 2 ⟩ ← − 1 4 2 1 1 1 1 0 1 3 2 7 4 0 12 6 9 0 18 24 26 1 13 2 54 96 3 ⟩ ← − 12 2 + 3 4 ⟩ ← 18 2 + 4 1 1 1 1 0 1 3 2 7 4 0 0 12 12 0 0 3 11 2 1 13 2 24 21 3 ⟩ ← − 1 12 3 1 1 1 1 0 1 3 2 7 4 0 0 1 1 0 0 3 11 2 1 13 2 2 21 4 ⟩ ← − 3 3 + 4 1 1 1 1 0 1 3 2 7 4 0 0 1 1 0 0 0 5 2 1 13 2 2 15 3
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solution4 - M341 Homework Solution 4 Section 2.1 1(b 3 3 2...

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