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Physicsissuef
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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) }
Homework Equations
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?