Hi,
I see that you have a matrix, and you want to sort the rows of the matrix based on the absolute value of the contents in descending order and then display the result with sign and corresponding original positions in a specific format.
To sort the rows of a matrix based on the absolute values of their elements while preserving the original values and indices we can follow the following steps:
- First, input the matrix from the user and determine its dimensions.
- For each row, compute the absolute values of its elements and sort these values in descending order.
- During this sorting process, keep track of the original indices to maintain a reference to the initial positions of the elements.
- Construct a formatted string for each row, where each element is displayed with its original sign and followed by its index in parentheses.
- This involves iterating over the sorted indices and using them to access the original values in the matrix.
- The formatted strings for each row are stored in a cell array, and finally, the results are displayed in a user-friendly format, showing the sorted elements with their corresponding indices.
Please refer to the attached code for better understanding of the flow:
% Example matrix input
matrix = [-5, -4, 2, 6; 3, -7, 1, -2; 8, -3, 0, 4];
% Number of rows and columns
[n, m] = size(matrix);
% Initialize a cell array to store results
resultTable = cell(n, 1);
% Process each row
for i = 1:n
% Extract the current row
currentRow = matrix(i, :);
% Get absolute values and sort them in descending order
[~, sortedIndices] = sort(abs(currentRow), 'descend');
% Create a string to hold the sorted row with original indices
sortedRowStr = '';
% Build the sorted row with original values and indices
for j = 1:m
originalIndex = sortedIndices(j);
value = currentRow(originalIndex);
sortedRowStr = [sortedRowStr, sprintf('%+d(%d) ', value, originalIndex)];
end
% Trim the trailing space and store the result
resultTable{i} = strtrim(sortedRowStr);
end
% Display the results
disp('Sorted rows with original indices:');
for i = 1:n
fprintf('Row %d: %s\n', i, resultTable{i});
end
I hope this will help!
