16.-Linear-Algebra-by-Kenneth-Hoffman · Problem 10.3.7

Bilinear Forms

Mathematics — Linear Algebra · skew-symmetric-characterization

Problem

Let

f

be a bilinear form on a vector space

V

. Let

L_f

and

R_f

be the mappings of

V

into

V^*

associated with

f

in Section 10.1. Prove that

f

is skew-symmetric if and only if

L_f = -R_f