k-frame

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This article is about a linearly independent subset. For a spanning set in analysis, see frame of a vector space.


In linear algebra, a branch of mathematics, a k-frame is an ordered set of k linearly independent vectors in a space; thus k ≤ n, where n is the dimension of the vector space, and if k = n an n-frame is precisely an ordered basis.

If the vectors are orthogonal, or orthonormal, the frame is called an orthogonal frame, or orthonormal frame, respectively.

Properties[edit]

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Riemannian geometry[edit]