Math 260, Fall 2018, Assignment 12

"When I think of Euclid even now, I have to wipe my sweaty brow."

- C. M. Bellman

Read:

1. Section 5.2.

Carefully define the following terms, then give one example and one non-example of each:

1. Orthonormal (set of vectors).

Carefully state the following theorems (you do not need to prove them):

1. Formula for coordinates with respect to an orthonormal basis.
2. $QR$ decomposition theorem.

Carefully describe the following algorithms:

1. Gram-Schmidt orthonormalization algorithm.

Solve the following problems:

1. Section 5.2, problems 3, 5, 7, 9, 17, 19, 21, 23, 29, 32, and 33.

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