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ee231_ass6

# ee231_ass6 - PROBLEMS 233 PROBLEMS 9.1 Determine the number...

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PROBLEMS 9.1 Determine the number of total flops as a (unction of the number of equations ii for the tridi agonal algorithm Fig. 9.2 1_ se the eraph teal net h ‘d ti solve 3v = —24 -— hv = 34 Cheek our results h substituting them hack into the equations. 9.3 Given the sy stem of equations I. lxi ± l(yv = 120 2x ± 17.4.v = 174 (a> Solve graphically and cheek your results by substituting them back into the equations. (b) On the basis of the graphical solution, what do you expect regarding the condition of the system? (c) Compute the determinant. 9.4 Given the system of equations 3 X2-r 7 x3 =2 xi + 2x = 3 Sxi 2x 2 = 2 Compute the determinant. Use Cramer’s rule to solve for the v’s. Use Gauss elimination with partial pivoting to solve for the vs. Substitute your results hack into the original equations to check your solution. Given the equations 0.5.vj .r = 9.5 l.02.v 1 2. = —15.8 (a) Solve graphically. (b) Compute the determinant. (C) On the basis of (a) and (b). what would you expect regarding the stems condition? (d) Solve by the elimtnaton of unkttowns, (e) Sob. e again, but with a modified slightly’ to 0.52. Interpret your results. Given the equations (Jr ‘— 2x = 27 --3v --hi’ —2s = (a Sive h\ naise Gauss elitutnatton. Shos all steps of the Ut ii pu tat ton. b Substitute our results i ito the original equattons to cheek our ans ers. 9.7 Gis en the equations —- hi’ .v = —3x 7x = —34 (a) Solve by Gauss elimination ss ith partial pivoting. Show all steps of the computation. (b) Suhstttute your results into the original equations to cheek your answers. 9.8 Perform the same calculations as in Example 9.5, hut for the tridiagonal system: 0.8 —0,4 1 .v 1 41 —0.4 0.8 —0.4 ,v- = 25 L —0.4 0.8 v-i 105 9.9 Figure P9.9 shows three reactors linked by pipes. As indicated, the rate of transfer of chemicals through each pipe is equal to a tiow rate (Q.

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ee231_ass6 - PROBLEMS 233 PROBLEMS 9.1 Determine the number...

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