Math 260, Fall 2017, Assignment 10
From cartan.math.umb.edu
The danger already exists that the mathematicians have made a covenant with the devil to darken the spirit and to confine man in the bonds of Hell.
- - Saint Augustine
Read:
- Section 5.2.
Carefully define the following terms, then give one example and one non-example of each:
- Orthogonal transformation (a.k.a. length-preserving transformation).
Carefully describe the following algorithms:
- Gram-Schmidt orthonormalization process.
Carefully state the following theorems (you do not need to prove them):
- Theorem concerning $QR$ decomposition.
- Pythagorean theorem.
Solve the following problems:
- Section 5.2, problems 1, 3, 5, 7, 9, 15, 17, 19, 21, 23, 32, 33, and 35.