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GO Classes | CSE/DA Course | Linear Algebra

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   Let $A$ be a $m \times n$ matrix. Which of the following statements is FALSE?

  1. $\operatorname{dim} \operatorname{Col} A+\operatorname{dim} \operatorname{Nul} A^T=n$.
  2. $\operatorname{rank} A+\operatorname{dim} \operatorname{Nul} A=n$.
  3. $\operatorname{rank} A=\operatorname{rank} A^T$.
  4. $\operatorname{dim} \operatorname{Row} A+\operatorname{dim} \operatorname{Nul} A=n$.

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