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Concept
Non-degenerate Form
A
non-degenerate form
is a bilinear or
quadratic form
that is invertible, meaning it has no
non-zero vectors
in its kernel. This property ensures that the form can uniquely determine
linear transformations
or
geometric properties
, making it crucial in areas such as
differential geometry
and
linear algebra
.
Relevant Degrees
Algebra 60%
Geometry 40%
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