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Concept
Linear Dependence
Linear dependence
in a
vector space
occurs when at least one vector in a set can be expressed as a
linear combination
of the others, indicating that the vectors are not
linearly independent
. This concept is crucial for understanding the dimensions of
vector space
s and the
solutions of linear equations
, as it helps identify
redundant vectors
that do not contribute to the
span of the space
.
Relevant Degrees
Algebra 100%
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