Linear Indpendence

Can we make one vector using two vectors?

If yes = Linear Dependence (LD)

If no = Linear Independence (LI)

If one vector can be written as a linear combination of the others, there is linear dependence.

If there is only a trivial solution, ie the vectors can only be linearly combined by multiplying zero to all of them, there is linear independence,

How to find if there is LD or LI If answer exists = LD
 * 1) put all vectors in one matrix A
 * 2) multiply column of x1, x2, .... xn, X
 * 3) AX = 0
 * 4) Solve for x1, x2, .... xn. (make the diagonal be 1)

If no answer exists = LI