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Skew symmetric matrix

by Gavroy
Tags: matrix, skew, symmetric
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Gavroy
#1
May11-13, 02:26 PM
P: 235
I am asking for some hints to solve this excercise. 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!
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tiny-tim
#2
May12-13, 04:46 PM
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P: 26,148
anyone have a simple method for this?


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