Best,j3n nyIs B=A^2 skew-symmetric, symmetric or neither?

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The discussion centers on the properties of the matrix B, defined as B = A^2, where A is a skew-symmetric matrix. It is established that B is symmetric. This conclusion arises from the definition of skew-symmetric matrices, where A = -A^T, leading to the result that B = A^2 = (A^T)(A) = -B, confirming that B is symmetric.

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j3n
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Hey,

I need help with thris proof.. :)

Say A is a skew-symmetric matrix. Is B=A^2 skew-symmetric, symmetric or neither. Prove your answer.



I know it's symmetric, but I'm having problems with subscriptmanship. Can anyone help me out?

Thanks,
j3n
 
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Here's a starting point:
[tex]A=-A^\top[/tex]
 

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