Solution
= Solution
Using the rules for the <matrix transpose> together with $L^T=L$ and $B^T=-B$,
$$
[B,L]^T=(BL-LB)^T=L^TB^T-B^TL^T=-LB+BL=[B,L].
$$
\b[Thus the <commutator> $[B,L]$ is a <symmetric matrix>.]
= Solution
Using the rules for the <matrix transpose> together with $L^T=L$ and $B^T=-B$,
$$
[B,L]^T=(BL-LB)^T=L^TB^T-B^TL^T=-LB+BL=[B,L].
$$
\b[Thus the <commutator> $[B,L]$ is a <symmetric matrix>.]