Subspace - Linear Algebra - Quiz Solution, Exercises of Linear Algebra

This is the Quiz Solution of Linear Algebra. Mainly this Course includes Zero Vector, Linearly Dependent, Statement, Vector, Linear Combination, Expressed, Trivial Solution, Inspection, Dependent, Theorem etc. Key important points of his quiz are: Subspace, Vector Space, Three Properties, Satisfy, Order, Members are Functions, Continuou, Two Vectors, Linear Combination, Answers

Typology: Exercises

2012/2013

Uploaded on 02/27/2013

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Math 205A Quiz 05 page 1 October 24, 2008 NAME__$U Guital ln 1. Suppose V is a vector space and H is a subset of V. What are the three properties that H must satisfy in order to be a subspace of V? (List in the same order as we have in class) ® O4H. (2) kml? Alon é H, wale, Got a) Tf ZEH al o€k, Am ol EM, 2. As in class, let F be the vector space whose members are functions f : R. — R. which continuous. The figure below shows the graphs of two vectors u and v in F. On the empty grid graph of —2v. On the bottom grid, show the linear combination u + v. (Draw lines) 4 tl clea 3. Let H be the subset of all vectors in F whose graph is horizontal from xz = 1 to x = 3. 3a. Is either of u or v from problem (2) in H? Explain both decisions. The graph 4 Ke Ls Geer ie so ae. Bae he gaph 4 U V © coed (Ch ' fe hep bof Grek ¢ oles 1) fom |b 3, s 0 Eu,