linearalgebra

Question

if $A = \begin{bmatrix} 2 &3 &4 \\ 3 & -1 &2 \\ -1& 4 & 5 \end{bmatrix}$ then rank of the matrix $(A-A^T)$ is _____

(A) $1$                 (B) $2$                      (C) $3$                    (D) $0$

Comments

(B) 2

---

i got 1 he gave 0

Answer 1

as we know that Rank(A) = Rank(A^T)   

So Rank(A  - A^T) => Rank(A) - Rank(A^T)  (Using Property)

=>Rank(A) - Rank(A) = 0

So i guess Answer must be "0"

plz correct me if you find my approach wrong