How do I determine whether or not the following vectors are linearly independent?
x (3, 1, 0, 1) y (2, 0, 1, -1) z (6, 2, 1, -2)
As GnomeSain mentioned in the above post, you should place the given cloumn vectors into a 4x3 matrix, and its row reduced echelon form looks like this:
Now, can you tell, what is the rank of the matrix?
Again look at GnomeSain's post, to know how you would be able to determine linear independence by knowing the rank of the row reduced matrix!