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YMX0010 Lineaaralgebra (2025 sügis)

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Kas kompleksarvude hulk C on vektorruum üle reaalarvude hulga?

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Kas eksisteerivad maatriksid ja , kui

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Olgu ja maatriksid. Maatriksi  ruuduks nimetatakse maatriksit , analoogiliselt .

Seega . Milline summa ruudu valem on õige?

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Mitmest vektorist koosneb - mõõtmelise vektorruumi baas?

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Kas kolm komplanaarest vektorit e1, e2 ja e3 moodustavad kommemõõtmelise vektorruumi baasi?

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Milline neist on kompleksarvu trigonomeetriline kuju?

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Milline on imaginaarühiku i argument?

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