How do you prove that a set of vectors {v1,v2,...,vp} are linear independent.
I know how a set of vectors are dependent so is it just the opposite.

Question

How do you prove that a set of vectors {v1,v2,...,vp} are linear independent.
I know how a set of vectors are dependent so is it just the opposite.

anonymous · Answer

For example if the det of the matrix for the set does not equal zero then the set of vectors are linear independent right?

anonymous · Answer

heeelp meeee

anonymous · Answer

Or if there is no zero vector or row then the set is lin independent?

anonymous · Answer

please somebody

anonymous · Answer

Dude what are you doing go away

kinggeorge · Answer

It's linearly independent if you can't have a linear equation of the vectors that equal the 0 vector.

anonymous · Answer

So basically the opposite of linear dependent right?

kinggeorge · Answer

Yup.

kinggeorge · Answer

Exactly the opposite in fact.

anonymous · Answer

Got it thanks. Have you taken linear algebra before. Just wondering.

kinggeorge · Answer

I've taken it before, but my class was quite terrible, so I can't help too much with lin. alg.

anonymous · Answer

Oh ok I'll probably ask more some time so whenever you can help I would appreciate it .

kinggeorge · Answer

I'll try my best.