In which of the following cases is the set of vectors {(0,1,1), (1,0,1), (1,1,0)} in F^3 linearly dependent? (a) If F is the field of rational numbers. (b) If F is the field of real numbers. (c) If F is the field of complex numbers. (d) If F is a field with two elements. (e) If F is a field with three elements.

In which of the following cases is the set of vectors {(0,1,1), (1,0,1), (1,1,0)} in F^3 linearly dependent? (a) If F is the field of rational numbers. (b) If F is the field of real numbers. (c) If F is the field of complex numbers. (d) If F is a field with two elements. (e) If F is a field with three elements.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter1: Fundamental Concepts Of Algebra

Section1.3: Algebraic Expressions

Problem 10E

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