Math 260, Fall 2015, Assignment 10

The moving power of mathematical invention is not reasoning but the imagination.

- Augustus de Morgan

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. Theorem concerning the coordinates of a vector with respect to an orthonormal basis.

Solve the following problems:

1. Section 5.1, problems 1, 3, 5, 7, and 9.
2. Section 5.2, problems 3 and 5.

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