Lesson plan

K-frame

In linear algebra, 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 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.

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Article summary

In linear algebra, 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 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.

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  1. Summarise the article in your own words. Which single claim would you verify first, and why?
  2. Which claim in this article is most likely to be revised as the sources update? How would you check its current status?
  3. If two sources disagreed about one of these facts, what would you need in order to trust one over the other?

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