Criterion for linear independence of functions

Details Criterion for linear independence of functions Criterion for linear independence of functions

2009-05-20

arxiv.org/abs/0905.3371v2

Mathematics

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6 pages, 0 figures

Scientific paper

Using a generalization of forward elimination, it is proved that functions
$f_1,...,f_n:X\to\mathbb{A}$, where $\mathbb{A}$ is a field, are linearly
independent if and only if there exists a nonsingular matrix $[f_i(x_j)]$ of
size $n$, where $x_1,...,x_n\in X$.

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