Question

Are the following set of vectors in R^4 linearly independent?

\[\left\{ (1,0,2,-1),(1,2,-1,0),(1,1,0,-1) \right\}\]

I want to get the set of vectors into matrixform but the "set" term confuses me a bit. Is this the right form?

\[\left[\begin{matrix}1 & 0 &2&-1 \\1 & 2 &-1&0 \\1 & 1&0&-1\end{matrix}\right]=\left[\begin{matrix}0 \\ 0 \\0\end{matrix}\right]\]

Or is it the other way around?

Answer 1

you need to add a row o zeroes

Answer 2

Add a row of zeroes, what do you mean by that?