# Lab13 - >> plot(t,x'r:p hold on>> plot(t,y'g:x...

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Exercise 1 A = [-0.3 0 0.1; 0.1 -0.1 0; 0 0.1 -0.1] [P,D]=eig(A) -inv(A)*[2; 0; 0] [0; 0; 5]-ans inv(P)*ans c=ans C= [c(1) 0 0; 0 c(2) 0; 0 0 c(3)] Q=P*C - - - - - - + - - - = - - - t t t e e e z y x 0382 . 0 2000 . 0 2618 . 0 2361 . 12 15 7639 . 7 5623 . 7 15 5623 . 12 6738 . 4 15 3262 . 20 5 10 10 Exercise 2 t=0:0.5:100; >> X=10+Q*[exp(-0.02618*t); exp(-0.2000*t); exp(-0.0382*t)]; >> x=X(1,:); y=X(2,:); z=X(3,:);

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Unformatted text preview: >> plot(t,x,'r:p'), hold on >> plot(t,y,'g:x'), plot(t,z,'m:v'), hold off Exercise 3 t=0:2:100; >> X=10+Q*[exp(-0.02618*t); exp(-0.2000*t); exp(-0.0382*t)]; >> x=X(1,:); y=X(2,:); z=X(3,:); >> plot(t,x,'r:p'), hold on >> plot(t,y,'g:x'), plot(t,z,'m:v'), hold off Exercise 4 The minimum amount of salt in tank C is achieved at time 10;...
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## This note was uploaded on 04/23/2008 for the course MATH 2373 taught by Professor Miracle during the Spring '08 term at Minnesota.

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Lab13 - >> plot(t,x'r:p hold on>> plot(t,y'g:x...

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