Orthonormal sets and bases (definition); expressing vectors as linear combinations of orthonormal basis vectors; matrices with orthonormal columns preserve vector norm and dot product; orthogonal matrices; inverse of an orthogonal matrix equals its transpose
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- August 25th, 2017
- 7 years ago
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Definition of orthonormal set of vectors math.la.d.vec.orthonormal_set
A matrix with real entries and orthonormal columns preserves norms. math.la.t.mat.col.orthonormal.norm.rn
A matrix with real entries and orthonormal columns preserves dot products. math.la.t.mat.col.orthonormal.dot.rn
Definition of orthogonal matrix math.la.d.mat.orthogonal
Definition of orthonormal basis of a (sub)space math.la.d.subspace.basis.orthonormal
A matrix A with real entries has orthonormal columns if and only if A inverse equals A transpose. math.la.t.mat.col.orthonormal.inv.rn
History
August 25th, 2017 7 years ago
Submitted by Petra Taylor
