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Systém lineárnych rovníc<br />

Príklad<br />

+ x = 1<br />

1 2<br />

x1− x2<br />

= 0<br />

Matica koeficientov a rozšírená matica majú tvar<br />

⎛1 1 ⎞ ⎛1 1 1⎞<br />

A= ⎜ , ′<br />

1 1<br />

⎟ A =⎜ ⎟<br />

⎝ − ⎠ ⎝1 −1 0⎠<br />

Hodnosti týchto matíc vyhovujú podmienke<br />

h A = h A ′ =<br />

( ) ( ) 2<br />

To znamená, že systém má práve jedno riešenie, = ( , )<br />

x<br />

x 1212 T<br />

.<br />

Priesvitka 12

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