k-frame
In
linearly independent[citation needed] vectors in a vector space; thus k ≤ n, where n is the dimension of the space, and 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
- The set of k-frames (particularly the set of orthonormal k-frames) in a given vector space X is known as the Stiefel manifold, and denoted Vk(X).
- A k-frame defines a Gram determinant.
See also
- Frame (linear algebra)
- Frame of a vector space