I have come across a theorem which says that det(A)=0 if and only if the row (or column) vectors of A are linearly dependent.(adsbygoogle = window.adsbygoogle || []).push({});

I can understand the proof for it, but fails to figure out what's the essential meaning of this theorem. Can someone provide me a simple intuitutive understanding of this theorem? By intitutive understanding, I mean something that one can assure himself of some result without doing much derivation.

Thanks in advance!

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# How to understand it inituitively?

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