This isn't a duplicate of the previous question

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.