Question

In Matlab

A= 3 -5 6 ( 15 7 9 13 5 -4 12 10 2 8 11 4 1 For the matrix A in problem-2, use MATLAB to carry out the following instructions a. Find the maximum and minimum values in each column. b. Find the maximum and minimum values in each row. c. Sort each column in ascending order and store the result in an array P. d. Sort each row in descending order and store the result in an array Q.

Answer 1

All questions done using Matlab..

Code:

clc
clear all
close all
A=[ 3 7 -4 12 ; -5 9 10 2 ; 6 13 8 11 ; 15 5 4 1];
disp('A = ')
disp(A);
[r c]= size(A);
%% finding the max and min values in each column
disp('=====================');
fprintf('column \t min \t max \n');
for i=1:c
x = A(:,i);
x=x';
minimum =min(x);
maximum =max(x);
fprintf('%d \t \t %d \t \t %d \n',i,minimum,maximum);
end
disp('=====================');
%% finding the max and min values in each row
fprintf('row \t min \t max \n');
for i=1:r
x = A(i,:);
minimum =min(x);
maximum =max(x);
fprintf('%d \t \t %d \t \t %d \n',i,minimum,maximum);
end
%% sorting column in ascending order
%% sort function will sort in columns
P = sort(A);
disp('===========P===========');
disp(P);
%% to sort the matrix in row wise
% transpose matrix -> sort -> transpose
Q = (sort(A'))';
%Q = sort(A,2);
%% or you can use sort(A,Dim) = sort(A,2) to sort rowwise
disp('===========Q===========');
disp(Q);

Screen shots..

output :

4 5 6 7 8 9 10 11 12 13 - - 14 - A=[ 37 -4 12 ; -5 9 10 2 ; 6 13 8 11 ; 15 5 4 1]; disp('A = ') disp (A); [r c] = size (A); %% finding the max and min values in each column disp('====== fprintf('column t min t max \n'); Çfor i=1:c x = A(:,1); x=x'; minimum Emin(x); maximum =max (x); fprintf('%d\t\t $d \t\t 3d \n',i,minimum, maximum); end disp('======= 8% finding the max and min values in each row fprintf("row \t min \t max \n'); for i=1:r x = A(1,:); minimum Emin(x); maximum =max (x); fprintf('%d\t\t $d It It $d \n',i,minimum, maximum); 15 16 17 - 18 - 19 20 21 22 23 24 25 26 - end 27 28 29 30 31 32 *% sorting column in ascending order 8% sort function will sort in columns P = sort (A); disp('== '); disp(P); 8% to sort the matrix in row wise transpose matrix -> sort -> transpose Q = (sort (A))'; sort(1,2); %% or you can use sort(A,Dim) = sort(A, 2) to sort rowwise disp('== '); disp(0); 33 34 - 35 36 37 38

A = 7 12 3 -5 -4 10 2 9 13 6 8 11 15 5 4 1 ===== ====== column min max 1 15 -5 5 2 13 3 10 -4 1 4 12 ======= min max LOW 1 2 12 -4 -5 10 3 6 13 4 1 15 5 -4 1 -5 3 7 4 2 6 9 8 11 15 نیا 10 12 ===== ========= -4 3 7 12 10 -5 2 9 6 8 11 13 1 4 5 15