assign1.sol

# assign1.sol - >> k=100 k = 100>> k=100>>...

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ASE 211 Solution to Homework 1 1. Using matlab, perform the following operations. Create a diary of your matlab session and hand in your diary. Also hand in all plots. >> r=2; r= 2 >> a=pi*r^2 a = 12.5664 >> sin(0) ans =

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0 >> sin(pi/2) ans = 1 >> cos(pi) ans = -1 >> x=[3;2;1;0] x = 3
2 1 0 >> y= [-15;3;2;1] y = -15 3 2 1 >> r*x ans = 6 4 2

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0 >> x+y ans = -12 5 3 1 >> A=[-4, 14, 0, 6; 20, 4, 2, 2;3, -2, 9, 1;5, 3, -7, 0] A = -4 14 0 6 20 4 2 2 3 -2 9 1 5 3 -7 0
>> r*A ans = -8 28 0 12 40 8 4 4 6 -4 18 2 10 6 -14 0 >> A*x ans = 16 70 14 14 >> z=[5,6,7,8]

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z = 5 6 7 8 >> A*z ??? Error using ==> * Inner matrix dimensions must agree. >> for i= 1:20 x(i)= pi*i/10 y(i)=sin(x(i)) end x = 0.3142 0.6283 0.9425
1.2566 1.5708 1.8850 2.1991 2.5133 2.8274 3.1416 3.4558 3.7699 4.0841 4.3982 4.7124 5.0265 5.3407 5.6549 5.9690 6.2832 y =

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0.3090 0.5878 0.8090 0.9511 1.0000 0.9511 0.8090 0.5878 0.3090 0.0000 -0.3090 -0.5878 -0.8090 -0.9511 -1.0000 -0.9511 -0.8090 -0.5878
-0.3090 -0.0000 >> plot(x,y)

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Unformatted text preview: >> k=100 k = 100 >> k=100; >> while (k>=10) k=k-3; end >> k k = 7 >> alpha=[4;2;-3;3;2;6]; >> k=5; >> a=-2; >> b=2; >> plotpoly(alpha,k,a,b) >> diary off 2. Create the following m-Fle plotpoly.m : function plotpoly(alpha,k,a,b) % % function which plots the polynomial % alpha(1)*x^k+alpha(2)*x^{k-1}+. ...+alpha(k)*x+alpha(k+1) % for x between a and b. k is the degree of the polyomial, and alpha % is a vector of coefficients % h=(b-a)/100; for i=1:101 x(i)=a+(i-1)*h; sum=0; for j=1:k+1 sum=sum+alpha(j)*x(i)^(k+1-j); end y(i)=sum; end plot(x,y) 1 2 3 4 5 6-1-0.8-0.6-0.4-0.2 0.2 0.4 0.6 0.8 1 X Y=sin(X) Plot of Y vs. sinX-2-1.5-1-0.5 0.5 1 1.5-100-50 50 100 150 200 X Y Plot of Polynomial...
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assign1.sol - >> k=100 k = 100>> k=100>>...

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