Definition of orthogonal basis of a (sub)space

Created almost 9 years ago, updated about 8 hours ago

An orthogonal basis is a basis whose distinct vectors are orthogonal. Its vectors are nonzero by independence, but need not have unit length. Coordinates can be extracted independently: if $v=\sum_j c_ju_j$, then $c_j=\langle u_j,v\rangle/\|u_j\|^2$.

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