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**1. Homework Statement**

Check if this sets of vectors generate same subspace for [itex]\mathbb{R}^4[/itex].

{ (1,2,0,-1), (-2,0,1,1) } and { (-1,2,1,0),(-3,-2,1,2) , (-1,6,2,-1) }

**2. Homework Equations**

**3. The Attempt at a Solution**

Here is the one matrix.

[tex]

\begin{bmatrix}

1 & 2 & 0 & -1 \\

-2 & 0 & 1 & 1

\end{bmatrix}

[/tex]

and the other

[tex]

\begin{bmatrix}

-1 & 2 & 1 & 0\\

-3 & -2 & 1 & 2\\

-1 & 6 & 2 & -1

\end{bmatrix}

[/tex]

I use row transformations to find out if this 2 matrices are equal. But how will I know which row transformations to implement?