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Math 215 HW #4
Due 5:00 PM Thursday, February 18
Reading:
Sections 2.1–2.2 from Strang’s
Linear Algebra and its Applications
, 4
th
edition.
Problems:
Please follow the guidelines for collaboration detailed in the course syllabus.
1. Problem 2.1.6.
2. Problem 2.1.12.
3. Problem 2.1.18.
4. Problem 2.1.22.
5. Problem 2.1.28.
6. Problem 2.2.6.

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**Unformatted text preview: **7. Problem 2.2.20. 8. Problem 2.2.30. 9. Problem 2.2.62. 10. Suppose x p is a vector in R n such that Ax p = b, where A is a given m × n matrix and b is a given vector in R m . Prove that, if x is any solution to the equation Ax = b , then x = x p + x h , where x h is some element of the nullspace of A . 1...

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