Consider a skew symetric matrix **A** of order **m×m** *(m is a natural number)* then if **m=2k+1** for some natural number **k** then which of the following statements are true:-

\(\mathbf{1.}\) Trace of **A** is zero

\(\mathbf{2.}\) Determinant of **A** is zero

\(\mathbf{3.}\) Inverse of **A** does not exist

\(\mathbf{4.}\) Transpose of **A** is equal to additive inverse of **A**

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