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A linearly independent set of elements of a vector space such that any element in that vector space can be expressed as a linear combination of the elements of the basis.
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Measuring the extent to which two sets of vectors span the same space
I have a set of measurements $y_i$, $1 \leq i \leq N$, and I want to model these measurements with a linear model. I have two possible models I can use,
$$
y \approx A c
$$
and
$$
y \approx B d
$$
whe …