# What is the dimension of V ? Find a basis for V

• April 13th 2010, 04:22 PM
DarK
What is the dimension of V ? Find a basis for V
Just question (c). And only the first couple of steps.

Any help is appreciated! (Rofl)
• April 13th 2010, 05:54 PM
dwsmith
$\begin{bmatrix}
1 & 0\\
2 & 1\\
0 & 2\\
3 & 1
\end{bmatrix}
$
rref= $\begin{bmatrix}
1 & 0\\
0 & 1\\
0 & 0\\
0 & 0
\end{bmatrix}$

The row rank is 2.

$x_1=0$ and $x_2=0$.

The nullity is $\mathbf{0}$.
• April 13th 2010, 06:08 PM
DarK
Quote:

Originally Posted by dwsmith
$\begin{bmatrix}
1 & 0\\
2 & 1\\
0 & 2\\
3 & 1
\end{bmatrix}
$
rref= $\begin{bmatrix}
1 & 0\\
0 & 1\\
0 & 0\\
0 & 0
\end{bmatrix}$

The row rank is 2.

$x_1=0$ and $x_2=0$.

The nullity is $\mathbf{0}$.

What is the basis?
• April 13th 2010, 06:14 PM
dwsmith
Nullity = Dim

The basis are the vectors that span the nullity.