# This isn't a duplicate of the previous question

Algebra Level pending

Given column vector $$A \in \mathbb{R}^n$$ and row vector $$B \in \mathbb{R}^n$$, if row vector B is rewritten as column vector A, such that entries $$B_{1n}$$ in matrix B become entries $$A_{n1}$$ in matrix A, where $$n \in \mathbb{N}$$, then which of the following statements are necessarily correct?

1. If vector A has a rank of 1, then vector B also has a rank of 1.

2. If vector B is in reduced row-echelon form, then vector A will also be in reduced row-echelon form.

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