Question

Make a MATLAB Script to build a matrix that satisfies following condition • Element has the zero value where row index = column index e.g. Element at 1st row 1st column = 0 • Element has the value equal to −|o x – com x| if row index > column index • Element has the value equal to |o x – com x| if row index < column index

Run the program for 4 by 4 matrix

Answer 1

A MATLAB script was provided that creates a 4x4 matrix with zeroes on its diagonal and elements above the diagonal being the absolute difference between indices, while below the diagonal being the negative absolute difference.

Step-by-step explanation:

The question involves creating a MATLAB script to build a matrix with specific conditions based on the row and column indices. The script should ensure that the diagonal elements of the matrix are zero, the elements above the diagonal are the absolute difference between the row and column indices, and the elements below the diagonal are the negative absolute difference. The following MATLAB code generates a 4x4 matrix as described:

matrixSize = 4;
A = zeros(matrixSize);
for i = 1:matrixSize
for j = 1:matrixSize
if i < j
A(i,j) = abs(i - j);
elseif i > j
A(i,j) = -abs(i - j);
end
end
end

When run, this script will populate a 4x4 matrix with the specified value conditions.