Q$1)$ Let $A=\left[\begin{array}{ccccc}1& 1& 4& 1& 2\\ 0& 1& 2& 1& 1\\ 0& 0& 0& 1& 2\\ 1& -1& 0& 0& 2\\ 2& 1& 6& 0& 1\end{array}\right].$ Find

a$)$ The basis for the row space.

b$)$ The basis for the column space.

c$)$ The Rank of $A.$

d$)$ The basis for the null space.

e$)$ The Nullity of $A.$