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.