MATH 425: Homework 1 - Linear Algebra, Assignments of Linear Algebra

The written homework assignment for math 425: linear algebra, due on january 25, 2008. The assignment includes finding the set of solutions to a linear subspace p, expressing it as a system of linear equations, and describing the relationship between the vector u and p in geometric terms. Additionally, students are asked to solve several exercises from chapter 4.2.

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2011/2012

Uploaded on 05/18/2012

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MATH 425 Written Homework 1Radford DUE FRIDAY 01/25/08
1. Let u=
3
2
1
5
R4and let P={xR4|<x,u>=0}.
(a) Express Pas the set of solutions to some system of linear equations and also describe
the relationship between uand Pin geometric terms.
(b) Find a basis for P.
2. Exercise 4.2.7
3. Exercise 4.2.8
4. Exercise 4.2.9
5. Exercise 4.2.10
1

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MATH 425 Written Homework 1 Radford DUE FRIDAY 01/25/

  1. Let u =

  

   ∈ R^4 and let P = {x ∈ R^4 | < x, u> = 0 }.

(a) Express P as the set of solutions to some system of linear equations and also describe the relationship between u and P in geometric terms.

(b) Find a basis for P.

  1. Exercise 4.2.
  2. Exercise 4.2.
  3. Exercise 4.2.
  4. Exercise 4.2.