I dont know if this is a rule, but can a set of vectors be linearly independent if their determinant is not equal to zero?(adsbygoogle = window.adsbygoogle || []).push({});

say 4 vectors are given in R^4, if I took the determinant of the 4 vectors such that det{v1 , v2, v3, v4} is not equal to zero, could i say that these vectors are linearly independent?

if they are linearly independent, then does it mean that these 4 vectors span R^4?

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# Homework Help: Linearly independent

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