Question: Please help solve this Lie algebra question. thanks For Lie algebras of type Bn: There is a correspondence between matrices and bilinear forms given by

Please help solve this Lie algebra question. thanks

For Lie algebras of type Bn: There is a correspondence between matrices and bilinear forms given by B(v, w) = U' Aw. (i) Find necessary and sufficient conditions on A so that the corresponding bilinear form B is symmetric i.e. B(v, w) = B(w, v)

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