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Concept
Rank
Summary
Rank is a
fundamental concept
in
linear algebra
that indicates the
dimension of the vector space
generated by the columns or
rows of a matrix
, reflecting its non-degeneracy and the maximum number of linearly independent column or row vectors. It is crucial in determining the
solvability of linear systems
, the
invertibility of matrices
, and in various applications such as
data compression
and
machine learning
.
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