13.07.2015 Views

Vektorruumi baas ja mõõde

Vektorruumi baas ja mõõde

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Vektorruum – p. 7/11Baas vektorruumisR nLause. Aritmeetilises vektorruumis R n moodustavad <strong>baas</strong>ivektorid:⃗e 1 = (1, 0, 0, ... , 0),⃗e 2 = (0, 1, 0, ... , 0),⃗e 3 = (0, 0, 1, ... , 0),·····················⃗e n = (0, 0, 0, ... , 1).Näitame, et need vektorid on lineaarselt sõltumatud. Tõestameselle väite vastaselt.

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