16.-Linear-Algebra-by-Kenneth-Hoffman · Problem 10.3.4

Bilinear Forms

Mathematics — Linear Algebra · symmetric-plus-skew-zero

Problem

Let

f

be a symmetric bilinear form on

C^n

and

g

a skew-symmetric bilinear form on

C^n

. Suppose

f + g = 0

. Show that

f = g = 0