Solution: In 15–22 determine whether the given set of

Chapter 4, Problem 18E

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QUESTION:

In Problems 15–22 determine whether the given set of functions is linearly independent on the interval \((-\infty, \quad)\).

\(f_{1}(x)=\cos 2 x, \quad f_{2}(x)=1, \quad f_{3}(x)=\cos ^{2} x\)

Text Transcription:

-\infty, quad

f_{1}(x)=\cos 2 x, \quad f_{2}(x)=1, \quad f_{3}(x)=\cos ^{2} x

Questions & Answers

QUESTION:

In Problems 15–22 determine whether the given set of functions is linearly independent on the interval \((-\infty, \quad)\).

\(f_{1}(x)=\cos 2 x, \quad f_{2}(x)=1, \quad f_{3}(x)=\cos ^{2} x\)

Text Transcription:

-\infty, quad

f_{1}(x)=\cos 2 x, \quad f_{2}(x)=1, \quad f_{3}(x)=\cos ^{2} x

ANSWER:

Step 1 of 4

We have to determine whether the given set of functions,and

 is linearly independent on the interval

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