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X - FIIT STU

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Systém lineárnych rovníc<br />

Príklad<br />

+ x = 1<br />

1 2<br />

x1+ x2<br />

= 2<br />

Matica koeficientov a rozšírená matica majú tvar<br />

⎛1 1⎞<br />

1 1 1<br />

A = , A ⎛ ⎞<br />

⎜<br />

1 1<br />

⎟ ′ =⎜ ⎟<br />

⎝ ⎠ ⎝1 1 2⎠<br />

Hodnosti týchto matíc vyhovujú podmienke<br />

h( A) = 1≠ h ( A ′)<br />

= 2<br />

To znamená, že systém nemá riešenie.<br />

x<br />

Priesvitka 14

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