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X - FIIT STU

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Príklad<br />

Vektory a, b a c sú lineárne závislé vtedy a len vtedy ak z nich zostrojený<br />

determinant matice<br />

⎛a<br />

⎞<br />

A =<br />

⎜<br />

b<br />

⎟<br />

⎜ ⎟<br />

⎝c<br />

⎠<br />

je nulový, A = 0, bude použitý na určenie roviny σ v 3-rozmernom priestore,<br />

ktorá je určená bodmi A, B a C, ktoré sú reprezentované riadkovými vektormi<br />

= a a a = b b b c = c c c<br />

a ( ), b ( ) a ( )<br />

1 2 3<br />

1 2 3<br />

1 2 3<br />

C= ( c<br />

1,c 2,c3)<br />

X= x ,x ,x ( )<br />

1 2 3<br />

A= ( a 1,a 2,a3)<br />

B= ( b<br />

1,b 2,b3)<br />

Priesvitka 39

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