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# HW5 - found on pages 101 and 103 respectively Use 1 x ∆ =...

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Note: print your Matlab code/commands when Matlab is required. HOMEWORK ASSIGNMENT 5 EGM 3344 Linear Algebra and System of Equations Problems from Chapra book chapters 8-9 Due: Wednesday, 10/13/2010 For all of these problems, feel free to use a simple Matlab program to calculate function values (like using a calculator) when the indicated approach is by hand. Problem Approach Comments 8.3 Matlab Note that the coefficient matrix is the A matrix. 8.4 Matlab Only report pairs of matrices that will work. 8.6 Matlab 8.10 Matlab Formulate linear system of equations by hand, solve the equations using Matlab. 9.5 Hand Only use Matlab for the plot. 9.6 Hand Solve by hand, check using Matlab. 9.7 Hand Solve by hand, check using Matlab. 9.12 Matlab Formulate the equations by hand, solve the equations using Matlab. Hints: Review the case study in Section 9.5 and use central difference equations for the first and second derivative as

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Unformatted text preview: found on pages 101 and 103, respectively. Use 1 x ∆ = in your solution process. Apply the specified boundary conditions for c at x = 0 and x = 10 to the equations for the first and last interior node, respectively. This is a real-world problem. Answers 8.3 x = -15.1812 -7.2464 -0.1449 8.4 No answers to provide without giving the solution away. 8.6 F = -500.0220 433.0191 -866.0381 -0.0000 250.0110 749.9890 2 Therefore, F 1 = –500 F 2 = 433 F 3 = –866 H 2 = 0 V 2 = 250 V 3 = 750 8.10 x = 7.3575 12.7530 15.2055 9.5 (a) (b) determinant = 0.02 (d) 1 10 x = , 2 14.5 x = (e) 1 10 x = -, 2 4.3 x = 9.6 (a) 1 0.5 x = , 2 8 x = , 3 6 x = -9.7 (a) 1 4 x = , 2 8 x = , 3 2 x = -9.8 1 173.75 x = , 2 245 x = , 3 253.75 x = 9.12 Plot of c as a function of x: 3...
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