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Page 9 - Sorting Number l l:8 b(6 points Solve the...

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Unformatted text preview: Sorting Number: l l :8 b) (6 points) Solve the following linear system of equations using LU decomposition wifi partial pivoting. —5x1+12x3 =60 4x1—x2 «x3 =—2 x1 —2)c2 +12x3 = 486 To save you time, the first step of the LU decomposition process has been performed for you below: -5 O 12 60 A: 4 —1 —1,b: —2 1 ‘2 12 786 Forward eliminate with f2] = —4/S,f31 = *1/5 to produce —5 0 12 60 A': O —1 8.6 , b'= —2 0 *2 14.4 —86 Record your final answers for x1 , x2, and x3 in the spaces below: x1 = x2 = X3 = U: a“ (in at}, O {‘21I 013' o o w W / 3 (float L 31 mt!“ (Ht? f-Qum 3 Ll \ O 0 (33 V86 L to Gm V O [91..ro T0 («or me meager alt/NEW KBSVMM; ( h 0N (OPT; @Ube o mural 9 Fall 2009 eve (/ % ...
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