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MAT-LAB MANUAL PART 2

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1. Givin matrix singular and Non singular

clc;

close all;clear all;

a= input('enter the given matrix=');

disp('a=');

disp(a);

y=det(a);

disp(y);

y1=inv(a);

disp(y1=);

disp(y1);

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2. Solve simultaneous equations (maximum of three) using Cramers rule

clc;

close all;

clear all;

A=input ('enter the matrix A=');

disp(A);

b=input('enter the matrix b=');

disp(b);

A1=A;A1(:,1)=b;

A2=A;A2(:,2)=b;

A3=A;A3(:,3)=b;

D=det(A);

disp('D=');disp(D);

D1=det(A1);

disp('D1=');

disp(D1);

D2=det(A2);

disp('D2=');

disp(D2);

D3=det(A3);

disp('D3=');disp(D3);

x(1)=D1/D;

disp('x(1)=');

disp(x(1));

x(2)=D2/D;

disp('x(2)=');

disp(x(2));

x(3)=D3/D;

disp('x(3)=');

disp(x(3));

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3. Show that log10(A*B)=log10A+ log10B

clc;

close all;

clear all;a=2;

disp('a=');

disp(a);

b=5;

disp('b=');

disp(b);

y1=log(a*b);

disp('y1=');

disp(y1);

y2=log(a)+log(b);

disp('y2=');

disp(y2);

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log10(A/B)=log10A-log10B

clc;

close all;clear all;

a=2;

disp('a=');

disp(a);

b=5;

disp('b=');

disp(b);

y1=log(a/b);

disp('y1=');disp(y1);

y2=log(a)-log(b);

disp('y2=');

disp(y2);

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4. Plot a straight line for the given slope and intercept using different plot

attributes.

clc;

close all;

clear all;

plot([2,-4],[1,6]);

hold on;

plot([5,-2],[-3,5]);

xlabel('x axis');

ylabel('y axis');

title('plot a straight line');

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5. Integrate and differentiate sin(x)and display the results on the same

plot in different colors. Also display sin(x)on the same plot

clc;

close all;clear all;

x=0:0.1:10;

y=sin(x);

z=cumsum(y)*0.1;

subplot(1,3,1);

plot(x,z,'r');

title('integration');

step=0.001;

x=0:step:2*pi;

y=sin(x);

z=diff(sin(x))/step;

subplot(1,3,2);

plot(y,'m');

subplot(1,3,3);

plot(z,'g');

title('differentiation');