Question

Question 1

a. Define the following matrices in a script file (M-file), ? = ( 8 9 10 11; 23 9 16 15 ;11 12 3 6; 1 2 8 9 ) ? = ( 2 21 7 15; 12 4 8 22; 23 9 5 13; 23 4 21 22) ℎ = (4 9 12 15)

b. Add suitable lines of codes to the M-file to do the following. Each of the following points should be coded in only one statement.

i. Compute the array product (element by element product) of f and g.

ii. Compute the matrix product of f and the transpose of h.

iii. Invert matrices f and g using the “inv” command.

iv. Extract all first and third row elements of matrix f in a newly defined array j.

v. Extract all the elements of the second column of matrix f in a newly defined array k.

vi. Store the sum of each row and column of matrix f using the “sum” command in a newly defined array m (of size 24). The first row elements of m should equal the sum of the columns, and the second row elements equal the sum of the rows.

vii. Delete the 1st and 3rd rows of matrix g.

Answer 1

Code:

clc
clear
f = [8 9 10 11; 23 9 16 15 ;11 12 3 6; 1 2 8 9];
g = [2 21 7 15; 12 4 8 22; 23 9 5 13; 23 4 21 22];
h = [4 9 12 15];

disp("Element wise product of f and g =");
disp(f.*g);

disp("Matrix product of f and the transpose of h = ");
disp(f*h');

disp("Inverse of matrix f = ");
disp(inv(f));
disp("Inverse of matrix g = ");
disp(inv(g));

j = [f(1,:);f(3,:)];
disp("Matrix j = ");
disp(j);

k = f(:, 2);
disp("Matrix k = ");
disp(k);

m =[sum(f(:, 1)) sum(f(:, 2)) sum(f(:, 3)) sum(f(:, 4));sum(f(1,:)) sum(f(2,:)) sum(f(3,:)) sum(f(4,:))];
disp("Matrix m = ");
disp(m);

disp("Matrix g on removing 1 and 3 row = ");
g([1,3],:) = [];
disp(g);

Output: