How are the 2 vectors linearly dependent or linearly independent?

The question is

Examine whether the vector i-j+2k,2i+j-3k, 2i-5j+k are linearly independent or linearly dependent?

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- January 9th 2009, 03:27 AMrshekhar.inVector
How are the 2 vectors linearly dependent or linearly independent?

The question is

Examine whether the vector i-j+2k,2i+j-3k, 2i-5j+k are linearly independent or linearly dependent? - January 9th 2009, 04:46 AMDeMathQuote:

Examine whether the vector i-j+2k,2i+j-3k, 2i-5j+k are linearly independent or linearly dependent?

If a determinant is equal to 0, then vectors are linearly dependent, and conversely, vectors are linearly independent if a determinant is not equal to 0.

For your problem it must be .