How do i prove that the following vectors span R3?
(1,1,0), (1,2,1), (4,6,2), (1,1,1)
I'd appreciate any help with this. Thanks.
Well of course they are not linearly independent. No four vectors in $\displaystyle R^3$ can be linearly independent.
But three from that set are linearly independent and threrfore span $\displaystyle R^3$.
If any set spans the space, then by adding one more the set still spans the space.