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

question 16

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) \(\operatorname { dim } \mathrm { Nul } \mathrm { A } = 3 , \operatorname { dim } \operatorname { Col } \mathrm { A } = 3\)

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