X - FIIT STU
X - FIIT STU
X - FIIT STU
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Príklad<br />
Hľadajme riešenie homogénneho systému rovníc<br />
2x − x + 5x + 3x<br />
= 0<br />
1 2 3 4<br />
x + x + 4x + 3x<br />
= 0<br />
1 2 3 4<br />
x + 3x + 2x<br />
= 0<br />
1 3 4<br />
x2 + x3 + x4<br />
= 0<br />
Budeme hľadať hodnosť matice koeficientov tohto systému<br />
⎛ 2 −1 5 3⎞ ⎛ 2 −1 5 3 ⎞ ⎛2 −1 5 3 ⎞<br />
⎜<br />
1 1 4 3<br />
⎟ ⎜<br />
−2 −2 −8 −6 ⎟ ⎜<br />
0 −3 −3 −3 ⎟<br />
⎛ 2 −1 5 3⎞<br />
A = ⎜ ⎟ ⎜ ⎟ ⎜ ⎟<br />
⎜ 1 0 3 2⎟ ⎜−2 0 −6 −4⎟ ⎜0 −1 −1 −1⎟<br />
⎜<br />
0 1 1 1<br />
⎟<br />
⎝ ⎠<br />
⎜ ⎟ ⎜ ⎟ ⎜ ⎟<br />
⎝ 0 1 1 1⎠ ⎝ 0 1 1 1 ⎠ ⎝0 1 1 1 ⎠<br />
Priesvitka 24
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