If A and B are two odd size skew symmetric matrices(for example $3 \times 3 $). Let us say $X=AB,Y=BA$
Question
What is the general relationship between X and Y? Can we write Y using X?
2026-03-27 22:31:04.1774650664
Skew symmetric Matrix - Commutative property
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We have
$$X^T=(AB)^T=B^TA^T=(-B)(-A)=BA=Y$$