Question

Using MATLAB

15. Write a program that: a. b. c. Accept two numbers n and m in the range of 1-6 Define three arrays A, B and Cof size n by m. (n-# of rows, m-H of columns) Fill the elements of array A by A(ij)-itj i-5 d. Fill the elements of array B by B(ij)ij e. Fill the elements of array C with the average of the corresponding elements of A f. g. h. and B Print the results Find the element in array C which has the maximum value. Print the value and the "location" of this element.

Answer 1

prompt = 'Enter n : ';

% get user input

n = input(prompt);

prompt = 'Enter m : ';

% get user input

m = input(prompt);

% create matrix of size n x m

A = zeros( n , m );

B = zeros( n , m );

C = zeros( n , m );

% fill the contents of A

for i = 1 : n

  

    for j = 1 : m

       

        A(i , j) = i + j;

       

    end

   

end

% fill the contents of B

for i = 1 : n

   

    for j = 1 : m

       

        B(i , j) = i - j;

       

    end

   

end

% fill the contents of C

for i = 1 : n

   

    for j = 1 : m

       

        C(i , j) = ( A(i , j) + B(i , j) ) / 2;

       

    end

   

end

A

B

C

% store the maximum value in C

max_val = A(1 , 1);

% store the location

max_i = 1;

max_j = 1;

% fill the contents of C

for i = 1 : n

   

    for j = 1 : m

       

        if C(i , j) > max_val

           

            max_i = i;

            max_j = j;

           

        end

       

    end

   

end

fprintf('\nMax Value in C is at position ( %d , %d )\n', max_i, max_j);

Sample Output

Enter n : 5
Enter m : 6

A =

2 3 4 5 6 7
3 4 5 6 7 8
4 5 6 7 8 9
5 6 7 8 9 10
6 7 8 9 10 11

B =

0 -1 -2 -3 -4 -5
1 0 -1 -2 -3 -4
2 1 0 -1 -2 -3
3 2 1 0 -1 -2
4 3 2 1 0 -1

C =

1 1 1 1 1 1
2 2 2 2 2 2
3 3 3 3 3 3
4 4 4 4 4 4
5 5 5 5 5 5

Max Value in C is at position ( 5 , 6 )