If A is a skew symmetric matrix and $n$ is an even integer, then $A^{n}$ is\

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Professor PC Thomas Classes · Answer

(a) $A^{T}=-A$\ $=(-(a)^{n}=A^{n}$ since $n$ is even\ $\left(A^{n}ight)^{T}=\left(A^{T}ight)^{n}=$\ $=A^{\mathrm{n}}$\ $\mathrm{A}^{\mathrm{n}}$ is symmetric\