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Kunze Linear Algebra
· Problem 10.1.5
Bilinear Forms
Mathematics — Methods · skew-symmetric-bilinear-forms-r3
Problem
Describe the bilinear forms on
R
3
R^3
R
3
which satisfy
f
(
α
,
β
)
=
−
f
(
β
,
α
)
f(\alpha, \beta) = -f(\beta, \alpha)
f
(
α
,
β
)
=
−
f
(
β
,
α
)
for all
α
\alpha
α
,
β
\beta
β
.
Related theory
Symmetric And Skew Symmetric Matrices
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