Solution of Linear System Using MATLAB Mathematics Problem (Math Problem Sample)

American University Of The Middle East
Course Title: Transforming Ideas to Innovation I
Course Code: ENGR131
Instructor: Ardit Lushi
Task: ENGR131_Assessment 4
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Question One
MATLAB CODE
% Given matrices D = [-5,3;13,-5;-6,81], E = [4,11,-42;40,3,-2], and
% F = [-4,28,4;4,5,-15;26,32,-11]
% Part (a)
clc; clear;
D = [-5,3;13,-5;-6,81];
E = [4,11,-42;40,3,-2];
F = [-4,28,4;4,5,-15;26,32,-11];
% Part (b)
format bank
F_Multiply_inv_F = F\F;
disp(F_Multiply_inv_F)
% Part (c)
D_power_5 = D.^5;
disp(D_power_5)
% Part (d)
F_multiply_8 = 8*F;
disp(F_multiply_8)
% Part (e)
E_multiply_F = E*F;
disp(E_multiply_F)
% Part (f)
Det_F = det(F);
disp(Det_F)
Part

Answer

*

D = [-5,3;13,-5;-6,81];
E = [4,11,-42;40,3,-2];
F = [-4,28,4;4,5,-15;26,32,-11];

*

F*F-1=100010001

*

D.5=-3125243371293-3125-77763486784401

*

8*F=-32224323240-120208256-88

*

E*F=-1064-1177313-2001071137

*

detF=-11396

Question Two
MATLAB CODE
% system of 3 by 3 linear algebraic equations
% -5x + 3y -2z = -19
% 2x -7y -4z = -28
% -4x +y -2z = 16
clc; clear;
A = [-5,3,-2;2,-7,-4;-4,1,-2]; % Coefficient matrix
b = [-19;-28;16]; % Right hand side