# Memo: skew-symmetric matrix associating a vector

01/11/2011

Let a be a vector, then , what is ?

If a=[a1,a2,a3]^T, then

[0 -a3 a2]

[a3 0 -a1]

[-a2 a1 0]

You can check it using the definition of cross product, see http://en.wikipedia.org/wiki/Cross_product.

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