Math 260, Fall 2018, Assignment 12
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"When I think of Euclid even now, I have to wipe my sweaty brow."
- - C. M. Bellman
Read:[edit]
- Section 5.2.
Carefully define the following terms, then give one example and one non-example of each:[edit]
- Orthonormal (set of vectors).
Carefully state the following theorems (you do not need to prove them):[edit]
- Formula for coordinates with respect to an orthonormal basis.
- $QR$ decomposition theorem.
Carefully describe the following algorithms:[edit]
- Gram-Schmidt orthonormalization algorithm.
Solve the following problems:[edit]
- Section 5.2, problems 3, 5, 7, 9, 17, 19, 21, 23, 29, 32, and 33.
