Solve the Problem A) $\operatorname { dim } \operatorname { Nul } \mathrm { A } = 5 , \operatorname { dim } \operatorname { Col } \mathrm { A } = 2$

question 25

Multiple Choice

Solve the problem.
- $$A = \left[ \begin{array} { r r r r r c r } 1 & - 2 & 3 & 1 & 0 & 5 & - 4 \\0 & 0 & 1 & - 6 & 2 & - 2 & 0 \\0 & 0 & 0 & 0 & 0 & 1 & 3 \\0 & 0 & 0 & 0 & 0 & 0 & 0\end{array} \right]$$

• A) \(\operatorname { dim } \operatorname { Nul } \mathrm { A } = 5 , \operatorname { dim } \operatorname { Col } \mathrm { A } = 2\)
• B) \(\operatorname { dim } \operatorname { Nul } \mathrm { A } = 3 , \operatorname { dim } \operatorname { Col } \mathrm { A } = 4\)
• C) \(\operatorname { dim } \operatorname { Nul } \mathrm { A } = 4 , \operatorname { dim } \operatorname { Col } \mathrm { A } = 3\)
• D) \(\operatorname { dim } N u l A = 2 , \operatorname { dim } \operatorname { Col } A = 5\)

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