Solve Invertible Skew Symmetric Matrix: Hints & Tips

Gavroy · May 11, 2013

I am asking for some hints to solve this exercise. Given an invertible skew symmetric matrix $A$, then show that there are invertible matrices $ R, R^T$ such that $R^T A R = \begin{pmatrix} 0 & Id \\ -Id & 0 \end{pmatrix}$, meaning that this is a block matrix that has the identity matrix in two of the four blocks and the lower one with a negative sign.

I am completely stuck!

tiny-tim · May 12, 2013

anyone have a simple method for this?

Solve Invertible Skew Symmetric Matrix: Hints & Tips

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Solve Invertible Skew Symmetric Matrix: Hints & Tips

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