(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let T: R3-->R3, defined by T(x)= a x x

Give the standard matrix A of T, and explain why A is skew-symmetric.

2. Relevant equations

They define u x v as

u x v=(det [u2 u3/ v2 v3], det [u3 u1 /v3 v1], det [u1 u2/ v1 v2])

For any vectors u,v,w in R3, w.(uxv)=D(w,u,v)

Ax.y=x.A^Ty

3. The attempt at a solution

I'm not really sure how to find a standard matrix for this, so I haven't made much progress.

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# Homework Help: Standard Matrix of Linear Transformation

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