Question

In the code space provided in Matlab Grader, create a function that:

1. Accepts an input matrix A as its only input argument. Matrix A is a 3x3 matrix of random integers between 1 and 4

2. Produces and output matrix B as its only output argument. Matrix B will also be a 3x3 matrix.

3. Calculates the elements of matrix B such that: a. the values of B along the diagonal are equal to the respective elements in A b. the values in each element of B not along the diagonal are equal to the sum of the values in the respective row and column of A

Use for loop.

Answer 1

The function is as follows

function B = matrixAB(A)

for i =1:3
for j = 1:3
if i==j
B(i,j)=A(i,j); % the values of B along the diagonal are equal to the respective elements in A
else
B(i,j) = sum(A(i,:))+sum(A(:,j)); % the non diagonal values in B are equal to the sum of the values in the respective

% row and column of A
end
end
end

end

To get a matrix of random integer values between 1 and 4, we can use

A = randi([1 4],3,3)

where 1 and 4 are the range, 3 and 3 is the number of rows and columns of the matrix required

To check the function, first generate the matrix using the command

A = randi([1 4],3,3)

Now call the function

B = matrixAB(A)

Example Output

>> A = randi([1 4],3,3)

A =

3 3 1
4 3 2
2 1 4

>> B = matrixAB(A)

B =

3 14 14
18 3 16
16 14 4

>>