Assume That the Matrix a Is Row Equivalent to B $$A = \left[ \begin{array} { r r r r r } 1 & 5 & 1 & 3 & 0 \\- 2 & - 4 & - 5 & - 4 & 1\end{array} \right]$$

Multiple Choice

Assume that the matrix A is row equivalent to B. Find a basis for the row space of the matrix A.
- $$A = \left[ \begin{array} { r r r r r } 1 & 5 & 1 & 3 & 0 \\- 2 & - 4 & - 5 & - 4 & 1\end{array} \right]$$

A) $\operatorname { dim } \mathrm { Nul } \mathrm { A } = 2 , \operatorname { dim } \operatorname { Col } \mathrm { A } = 3$
B) $\operatorname { dim } \mathrm { Nul } \mathrm { A } = 4 , \operatorname { dim } \operatorname { Col } \mathrm { A } = 1$
C) $\operatorname { dim } \operatorname { Nul } \mathrm { A } = 3 , \operatorname { dim } \operatorname { Col } \mathrm { A } = 2$
D) $\operatorname { dim } \mathrm { Nul } \mathrm { A } = 3 , \operatorname { dim } \operatorname { Col } \mathrm { A } = 3$