Question

set of linear equations are given as follows 10 x +20 y +9z 414 +7 x -14y +12z 363 -3x +12 y +11 z-475 If the above system of linear equations is represented by the matrix system where the unknown vector vI-x y z) A- coefficient of the linear systems, and b-right-hand side vector 1) Write the matrix A 2) Using a for-loop, write a Matiab-code to compute matros-matrix product Le., C A'A 3) Select the correct value of C'b from the choices below? hoices -266790, 253968, -110032) -266797, 253972, -1100321) -266793, 253971,-110032] -266793, 253970, -110036]T

Answer 1

B) MATLAB CODE:

A=[-10,20,9;7,-14,12;-3,12,11];
b=[-414;363;-175];
for m=1:3
C(m,1)=A(m,1)*A(1,1)+A(m,2)*A(2,1)+A(m,3)*A(3,1);
C(m,2)=A(m,1)*A(1,2)+A(m,2)*A(2,2)+A(m,3)*A(3,2);
C(m,3)=A(m,1)*A(1,3)+A(m,2)*A(2,3)+A(m,3)*A(3,3);
end
C
D=C*b
disp('choice c is correct')

RESULT:

213 372 249 204 480 27 81 96 238 266793 253971 -110032 choice c is correct

C)

$\Rightarrow$consider D=C*b

$\Rightarrow$from matlab code we can say that option c is correct.