Exterior Algebras: Elementary Tribute to Grassmann's Ideas provides
the theoretical basis for exterior computations. It first addresses
the important question of constructing (pseudo)-Euclidian
Grassmmann's algebras. Then, it shows how the latter can be used to
treat a few basic, though significant, questions of linear algebra,
such as co-linearity, determinant calculus, linear systems
analyzing, volumes computations, invariant endomorphism
considerations, skew-symmetric operator studies and decompositions,
and Hodge conjugation, amongst others.
General
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