01.02.2015 Views

X - FIIT STU

X - FIIT STU

X - FIIT STU

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

Nájdite riešenie homogénneho systému<br />

Príklad<br />

2x − 3x + x = 0<br />

1 2 3<br />

x + 2x − x = 0<br />

1 2 3<br />

2x + x + x = 0<br />

1 2 3<br />

Stanovíme hodnosť matice koeficientov<br />

A<br />

⎛2 −3 1 ⎞ ⎛2 −3 1⎞<br />

=<br />

⎜<br />

1 2 −1 ⎟ ⎜<br />

0 −7 3<br />

⎟<br />

⎜2 1 1 ⎟ ⎜0 0 3⎟<br />

⎝ ⎠ ⎝ ⎠<br />

Hodnosť matice koeficientov h(A) = 3, čo je aj počet neznámych, t. j.<br />

homogénny systém má len triviálne riešenie.<br />

Priesvitka 26

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!