Answer:
MATLAB code explained below with appropriate comments for better understanding
Explanation:
clc
clear all
ID = [1 2 3 4 5 6 7]; % Replace this with your student ID
%(a)
A = zeros(7);
for i=1:7
A(i,i)= ID(i);
end
fprintf('A =\n');
disp(A);
B = diag(ID);
fprintf('B =\n');
disp(B);
fprintf('Both A and B are same\n');
%(b)
if(mod(A(6,6),2)==0)
fprintf('A(6,6) is even\n');
else
fprintf('A(6,6) is odd\n');
end
%(c)
if(A(3,3)>0)
fprintf('A(3,3) is positive\n');
else if(A(3,3)<0)
fprintf('A(3,3) is negative\n');
else
fprintf('A(3,3)=0\n');
end
end
%(d)
fprintf('\nRequired series : ');
n = 35;
while n>=0
fprintf('%i',n);
if(n>0)
fprintf(', ');
end
n = n - 5;
end
fprintf('\n');
%(e)
n = input('\nInput an integer : ');
fprintf('%i! = ',n);
F = 1;
while n>1
F = F * n;
n = n - 1;
end
fprintf('%i\n',F);
%(f)
clear all
x = [3 7 2 1];
y = [4 3 9 1];
A = 0;
C = x(1);
for i=1:length(x)
A = A + x(i)*y(i);
B(i) = x(i)/y(i);
if(min(x(i),y(i))<C)
C = min(x(i),y(i));
end
end
C = 1/C;
fprintf('\nA = %i\n',A);
fprintf('B = ');
disp(B)
fprintf('C = %0.5g\n',C);
%(g)
clear all
A = randi([5 25],[1,10]);
maxA = A(1);
for i = 2:10
if(maxA<A(i))
maxA = A(i);
end
end
minA = A(1);
i = 2;
while i<11
if(minA>A(i))
minA = A(i);
end
i = i+1;
end
fprintf('\nA = ');
disp(A);
fprintf('maxA = %i\n',maxA);
fprintf('minA = %i\n',minA);
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%output
A =
1 0 0 0 0 0 0
0 2 0 0 0 0 0
0 0 3 0 0 0 0
0 0 0 4 0 0 0
0 0 0 0 5 0 0
0 0 0 0 0 6 0
0 0 0 0 0 0 7
B =
1 0 0 0 0 0 0
0 2 0 0 0 0 0
0 0 3 0 0 0 0
0 0 0 4 0 0 0
0 0 0 0 5 0 0
0 0 0 0 0 6 0
0 0 0 0 0 0 7
Both A and B are same
A(6,6) is even
A(3,3) is positive
Required series : 35, 30, 25, 20, 15, 10, 5, 0
Input an integer : 6
6! = 720
A = 52
B = 0.7500 2.3333 0.2222 1.0000
C = 1
A = 25 14 7 10 13 17 10 17 19 9
maxA = 25
minA = 7
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