MCV4U - Do three vectors span all of R^3?

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Great and easy explanation thank you !

laurentbijman
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very clear explanation thanks! glad that found this video at first

Ramya-hofs
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Isn't the second dimension technically spanned by the third dimension? I get that linear dependence suggests that either R2 or R1 (or R0, in special cases) will span for three different vectors, but technically speaking, all dimensions greater than that of the correct span should be considered "spanned by Rn", right?

wearytrader