Concept

K-frame

In linear algebra, a branch of mathematics, a k-frame is an ordered set of k linearly independent vectors in a vector space; thus k ≤ n, where n is the dimension of the 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. The set of k-frames (particularly the set of orthonormal k-frames) in a given space X is known as the Stiefel manifold, and denoted Vk(X). A k-frame defines a parallelotope (a generalized parallelepiped); the volume can be computed via the Gram determinant.

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https://en.wikipedia.org/wiki/K-frame

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Official source

https://en.wikipedia.org/wiki/K-frame

About this result

Related courses (1)

PHYS-101(a): General physics : mechanics

Related lectures (26)

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