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