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 a field with two elements.. (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 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 a field with two elements.. (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 three elements.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.3: Vectors

Problem 11E

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Combination of a real number and an imaginary number. They are numbers of the form a + b , where a and b are real numbers and i is an imaginary unit. Complex numbers are an extended idea of one-dimensional number line to two-dimensional complex plane.

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