Question

In Matlab

explain how MMAIDAB gou that ansWer! 8. Perform row operations: The three elementary row operations can be performed in MATLAB using the following commands Type 1: ACEi, j] , Đ#A ( [j, i] , Đ interchanges row i and row j Type 11: A(i, :)#0#A(i, :) multiplies row i bya Type III: A(i,:)-A(i, :)+ a*A(j,:) multiplies row j by a and adds it to row i Enter the following matrix: 12 -9 34 Perform row operations in MATLAB that reduce the matrix A to Row Echelon Form Use format rat

Answer 1

Type I:

MATLAB CODE:

clc
clear all
close all

A = [4 2 3;-8 -7 -2;12 -9 34];

fprintf('Matrix A:\n')
disp(A)

S = size(A);
m = S(1); % Number of rows in matrix A

fprintf('NOTE:Matrix A is having %d rows only\n',m)

i = input('Enter row number for i:');
j = input('Enter row number for j:');

A([i,j],:) = A([j,i],:);
fprintf('Matrix after Rows %d and %d are interchaned:\n',i,j)
disp(A)

OUTPUT:

Matrix A: 4 2 3 8 12 9 34 NOTE:Matrix A is having 3 rows only Enter row number for i: 2 Enter row number for j: 3 Matrix after Rows 2 and 3 are interchanged: 4 12 2 3 9 34 8 2

Type II:

MATLAB CODE:

clc
clear all
close all

A = [4 2 3;-8 -7 -2;12 -9 34];

fprintf('Matrix A:\n')
disp(A)

S = size(A);
m = S(1); % Number of rows in matrix A

fprintf('NOTE:Matrix A is having %d rows only\n',m)

i = input('Enter row number for i:');
a = input('Enter any number for a:');

A(i,:) = a*A(i,:);
fprintf('Matrix after Row %d multiplied by %d:\n',i,a)
disp(A)

OUTPUT:

Matrix A: 2 4 8 12 3 934 NOTE : Matrix A is having 3 rows only Enter row number for i: Enter any number for a: 5 Matrix after Row 1 multiplied by 5: 20 10 15 8 2 12 9 34

Type III:

MATLAB CODE:

clc
clear all
close all

A = [4 2 3;-8 -7 -2;12 -9 34];

fprintf('Matrix A:\n')
disp(A)

S = size(A);
m = S(1); % Number of rows in matrix A

fprintf('NOTE:Matrix A is having %d rows only\n',m)

i = input('Enter row number for i:');
j = input('Enter row number for j:');
a = input('Enter any number for a:');
A(i,:) = A(i,:) + a*A(j,:);
fprintf('Matrix after Row %d is multiplied by %d and added to Row %d:\n',j,a,i)
disp(A)

OUTPUT:

Matrix A: 4 3 8 2 12 9 34 NOTE: Matrix A is having 3 rows only Enter row number for i: Enter row number for j: 3 Enter any number for a: Matrix after Row 3 is multiplied by 7 and added to Row 1: 88-61 241 8 12 2 9 34