Question

Write a program to find product of a row vector, U having dimension 1 x 2 with a 2 x 2 matrix, A. The input to the program includes initialized row vector, U and matrix, A. The expected output is a transformed row vector. You can test your program using following example: A =

2	4
5	1

4 5 1 and U = [3 2] The result of product U.A is a transformed row vector: [16 14]

Q2. Write a program to find product of a column vector, V having dimension 2 x 1 with a 2 x 2 matrix, A. The input to the program includes initialized column vector, V and matrix, A. The expected output is a transformed column vector. You can test your program using following example: A =

2	4
5	1

and V = [ 2 5 ]

The result of product V.A is a transformed column vector: [14 15]

Q3. Write a program to find sum of two matrices, each having dimensions 2 x 2.

Q4. Write a program to find transpose of a 3 x 2 matrix. The resulting transposed matrix would be of size 2 x 3. 5

Answer 1

% QUESTION 1
% A has dimention 2 x 2
A=[2 4 ; 5 1];
%U having dimension 1 x 2
U=[3 2];
j=1;
s=0;
k=1;
% row vector representation
for i =1:2
for j=1:2
s=s+A(j,i)*U(j);
end
M(k)=s;
k=k+1 ;
s=0;
end
fprintf('Row vector is : \n');
for i=1:2
fprintf('%d ',M(i));
end

SCREEN SHOT

OUTPUT

%QUESTION 2
% A has dimention 2 x 2
A=[2 4 ; 5 1];
% V has dimention 2 x 1
V=[2;5];
j=1;
s=0;
k=1;
% row vector representation
for i =1:2
for j=1:2
s=s+A(i,j)*V(j);
end
M(k)=s;
k=k+1 ;
s=0;
end
fprintf('Column vector is : \n');
for i=1:2
fprintf('%d\n',M(i));
end

SCREEN SHOT

OUTPUT

%QUESTION 3
% taking two 2 x 2 matrices
A=[2 4 ; 5 1];
B=[5 6;8 9];
fprintf('Addition of two matrices is :\n');
for i =1:2
for j=1:2
   %addition of two matrices
s=A(i,j)+B(i,j);
fprintf('%d ',s);
end
fprintf('\n');
end
  

SCREEN SHOT

OUTPUT

%QUESTION 4

%QUESTION 4
A=[2 4 ; 9 2 ;3 1];
for i=1 : 3
for j= 1 : 2
   % trans_A will take the transpose of the matrix A
trans_A(j,i)=A(i,j);
end
end

fprintf('Original matrix is :\n');
for i=1 : 3
for j= 1 : 2
fprintf('%d ',A(i,j));
end
fprintf('\n');
end
fprintf('Transpose of the matrix is :\n');
for i=1:2
for j=1:3
fprintf('%d ',trans_A(i,j));
end
fprintf('\n');
  
end

SCREEN SHOT

OUTPUT