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Mathematics 18 Online
OpenStudy (anonymous):

A set of vectors in R^n is linearly dependent if the determinant is zero. Is this statement true?

jimthompson5910 (jim_thompson5910):

Yes it is http://ocw.mit.edu/ans7870/18/18.013a/textbook/HTML/chapter04/section02.html On that page, it says: "This happens, the determinant is zero, when the columns (and rows) of the matrix are linearly dependent."

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