for counter=1:3 disp('Matlab is great!') end Matlab is great! Matlab is great! Matlab is great! counterMax=5 counterMax = 5 test1 Remember these 5 about Matlab:1: Matlab is great!2: Matlab is great!3: Matlab is great!4: Matlab is great!5: Matlab is great! test1 Remember these 5 about Matlab: 1: Matlab is great! 2: Matlab is great! 3: Matlab is great! 4: Matlab is great! 5: Matlab is great! counterMax=3 counterMax = 3 test1 Remember these 3 about Matlab: 1: Matlab is great! 2: Matlab is great! 3: Matlab is great! freqEq=@(omega,k) sin(omega)+k*omega*cos(omega) freqEq = function_handle with value: @(omega,k)sin(omega)+k*omega*cos(omega) freqEq=@(omega,k) sin(omega)+k*omega*cos(omega); k=1 k = 1 nMax=10 nMax = 10 nMax=2 nMax = 2 test2 Frequency 1: guess: 1.571; exact: 2.029 Frequency 2: guess: 4.712; exact: 4.913 nMax=10 nMax = 10 test2 Frequency 1: guess: 1.571; exact: 2.029 Frequency 2: guess: 4.712; exact: 4.913 Frequency 3: guess: 7.854; exact: 7.979 Frequency 4: guess: 10.996; exact: 11.086 Frequency 5: guess: 14.137; exact: 14.207 Frequency 6: guess: 17.279; exact: 17.336 Frequency 7: guess: 20.420; exact: 20.469 Frequency 8: guess: 23.562; exact: 23.604 Frequency 9: guess: 26.704; exact: 26.741 Frequency 10: guess: 29.845; exact: 29.879 n=6 n = 6 A=zeros(6) A = 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 A(1,1)=1 A = 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 A(1,2)=-1 A = 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 n=6 n = 6 test3 test3 A = 1 -1 0 0 0 0 1 -3 2 0 0 0 0 2 -5 3 0 0 0 0 3 -7 4 0 0 0 0 4 -9 5 0 0 0 0 0 1 n=5 n = 5 test3 A = 1 -1 0 0 0 1 -3 2 0 0 0 2 -5 3 0 0 0 3 -7 4 0 0 0 0 1 n=4 n = 4 test3 A = 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 A = 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 A = 1 -1 0 0 1 -3 2 0 0 2 -5 3 0 0 0 0 A = 1 -1 0 0 1 -3 2 0 0 2 -5 3 0 0 0 1 n=3 n = 3 test4 A = 0 0 0 0 0 0 0 0 0 A = 1 2 3 4 5 6 7 8 9 n=4 n = 4 test4 A = 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 A = 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 n=3 n = 3 test4 A = 0 0 0 0 0 0 0 0 0 A = 1 2 3 4 5 6 7 8 9 condA = 5.0523e+16 n=4 n = 4 test4 A = 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 A = 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 condA = 1.4155e+17 n=8 n = 8 test4 A = 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 A = 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 condA = 1.4926e+19 iMax=1000 iMax = 1000 test5 total = 1.6439 pi^2/6 ans = 1.6449 x=1 x = 1 iMax=5 iMax = 5 test6 expx = 2.7167 error = -0.0016 test6 expx = 2.7167 exact = 2.7183 error = -0.0016 iMax=10 iMax = 10 test6 expx = 2.7183 exact = 2.7183 error = -2.7313e-08 iMax=50 iMax = 50 test6 expx = 2.7183 exact = 2.7183 error = 0 x=10 x = 10 test6 expx = 2.2026e+04 exact = 2.2026e+04 error = -7.2760e-12 iMax=10 iMax = 10 test6 expx = 1.2842e+04 exact = 2.2026e+04 error = -9.1842e+03 iMax=20 iMax = 20 test6 expx = 2.1991e+04 exact = 2.2026e+04 error = -34.9838 iMax=40 iMax = 40 test6 expx = 2.2026e+04 exact = 2.2026e+04 error = -3.9181e-09 save lecture9 x=-10 x = -10 iMax=40 iMax = 40 test6 expx = 4.5402e-05 exact = 4.5400e-05 error = 2.4120e-09 x=-20 x = -20 test6 expx = 4.4420e+03 exact = 2.0612e-09 error = 4.4420e+03