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?
You need compose a determinant from the coordinates of these vectors.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 .