Matrix $A$ is skew-symmetric (or antisymmetric) iff $A^\top = -A$.
Questions tagged [skew-symmetric-matrices]
202 questions
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Skew Symmetric Matrix with condition
If A is 2*2 skew symmetric matrix with $$A^2=A$$, Then A=0 $$$$
My attempt was by assuming the matrix A and substituting the squaring condition and the condition of
skew symmetric and got system of equations but I couldn't solve it.I look forward to…
AK Math
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Commutator of Skew-Symmetric Matrices with Integer entries
Let $\mathcal{S_3}$ be the collection of $3\times 3$ skew-symmetric matrices with integer entries. There is no non-zero $D\in \mathcal{S_3}$ that satisfies the following equation
$$[D,[D,[D,N]]]=0$$
for all $N\in \mathcal{S_3}$ where $[\cdot,\cdot]$…
Elliot
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