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X - FIIT STU

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Príklad<br />

Použitím Gaussovej eliminačnej metódy riešte systém<br />

2x − x + 5x + 3x<br />

= 5<br />

Rozšírená matica má tvar<br />

1 2 3 4<br />

x + x + 4x + 3x<br />

= 7<br />

1 2 3 4<br />

x + 3x + 2x<br />

= 4<br />

1 3 4<br />

x + x + x = 3<br />

2 3 4<br />

⎛ 2 −1 5 3 5⎞<br />

⎜<br />

1 1 4 3 7<br />

⎟<br />

A ′ = ⎜<br />

⎟<br />

⎜ 1 0 3 2 4⎟<br />

⎜<br />

⎟<br />

⎝ 0 1 1 1 3⎠<br />

Priesvitka 19

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