% =========================================================================
%   Praktikum MATLAB/Simulink I
%   Technische Universität Darmstadt
%   IAT, FG rtm (Prof. Dr.-Ing. U. Konigorski)
%
%   Copyright (c) 2017, FG Regelungstechnik und Mechatronik,
%                       Technische Universität Darmstadt
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%      notice, this list of conditions and the following disclaimer.
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% =========================================================================

n = 5;
A = 10 * rand(n); % Erzeugen einer (nxn)-Matrix mit beliebigen Werten zwischen 0 und 10


% Berechnung Determinante nach selbstgeschribener Funktion , wobei nach der
% 1. Zeile entwickelt wird

det_A = Determinante(A);

% Berechnung Determinante mit Hilfe des vordefinierten Matlab Befehls

det_Matlab = det(A);

fprintf('Unsere Berechnung liefert:\t det(A)=%g\n', det_A);
fprintf('Matlab-Befehl:\t\t\t\t det(A)=%g\n', det_Matlab)
fprintf('\n');

if (abs(det_A) >= 0.99 * abs(det_Matlab)) && (abs(det_A) <= 1.01 * abs(det_Matlab))
    disp('Die Determinante wurde richtig berechnet');
else
    disp('Die Determinante wurde falsch berechnet');
end
