Just question (c). And only the first couple of steps.

Any help is appreciated! (Rofl)

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- Apr 13th 2010, 04:22 PMDarKWhat 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) - Apr 13th 2010, 05:54 PMdwsmith
$\displaystyle \begin{bmatrix}

1 & 0\\

2 & 1\\

0 & 2\\

3 & 1

\end{bmatrix}

$ rref=$\displaystyle \begin{bmatrix}

1 & 0\\

0 & 1\\

0 & 0\\

0 & 0

\end{bmatrix}$

The row rank is 2.

$\displaystyle x_1=0$ and $\displaystyle x_2=0$.

The nullity is $\displaystyle \mathbf{0}$. - Apr 13th 2010, 06:08 PMDarK
- Apr 13th 2010, 06:14 PMdwsmith
Nullity = Dim

The basis are the vectors that span the nullity.