# Algebra – How to prove that rank (A +) is nothing but rank (A)?

look here my friend. How to prove the following equation? Or give a counterexample. thank you so much

$$text {rank} (A ^ +) leq text {rank} (A)$$

or $$text {rank} (A ^ +)$$ represents the positive components of the matrix $$A$$, for example.
$$left[begin{matrix}2 & -1.5 & 0\-2.3 & 2 & 4.1end{matrix}right]^ + = left[begin{matrix}2 & 0 & 0\0 & 2 & 4.1end{matrix}right].$$