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**lllll** $\displaystyle A= \left( \begin{array}{cccc}

0 & 1 & 1 & 1 \\ \\

0 & 0 & 0 & 0 \\ \\

0 & 1 & 0 & 1

\end{array} \right) $

a) Find the Basis,

b) the dimension of the row space of $\displaystyle A$,

c) the column space of $\displaystyle A$

d) the null space of $\displaystyle A$

e) the null space of $\displaystyle A^T$

Solutions:

a) Basis = $\displaystyle (1,0,1), (1,0,0), (1,0,1) $

b) dimension of row space is 3 or 2, that row of 0s is setting me off

c) not sure if it's 3 or 4

d) I'm not sure if this would involve the row, the column or both, considering that they are nothing but 0s

e) $\displaystyle A^T= \left( \begin{array}{ccc}

0 & 0 & 0 \\ \\

1 & 0 & 1 \\ \\

1 & 0 & 0 \\ \\

1 & 0 & 1

\end{array} \right) $

again those rows and columns of 0 are throwing me off.