Let S be a subset of a vector space V over a field F. Which of the following is true? a) If au ES and a € F, then u € S. b) If u € S and a € F, then au € S. c) If u, v E S, then u + v E S. d) None of the choices in this list is correct.
Let S be a subset of a vector space V over a field F. Which of the following is true? a) If au ES and a € F, then u € S. b) If u € S and a € F, then au € S. c) If u, v E S, then u + v E S. d) None of the choices in this list is correct.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.2: Linear Independence, Basis, And Dimension
Problem 33EQ
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