Question

Determine if the set of functions is linearly independent: 1. f1(x)=cos2x, f2(x)=1, f3(x)=cos^2 x 2. f1(x)=e^...

Determine if the set of functions is linearly independent:

1. f1(x)=cos2x, f2(x)=1, f3(x)=cos^2 x

2. f1(x)=e^ x, f2(x)=e^-x, f3(x)=senhx

Math   Calculus   
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Answer #1

Note: we check af1(x)+bf2(x)+cf3(x)=0 if all a, b, c, are zero then linearly independent otherwise linearly dependent.

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