Which of the following sets of functions are linearly independent on the interval (−∞, ∞)? (i) ...

Which of the following sets of functions are linearly independent on the interval (−∞, ∞)?

(i) f₁(x) = x, f₂(x) = 6x, f₃(x) = x² + 3

(ii) f₁(x) = 2e^2x, f₂(x) = 4e^4x, f₃(x) = 8e^8x

(iii) f₁(x) = 4sin²x, f₂(x) = 10cos 2x, f₃(x) = x

(A) (ii) only (B) (iii) only (C) (i) and (iii) only (D) (ii) and (iii) only (E) all of them (F) (i) and (ii) only (G) (i) only (H) none of them

Expert Solution

milcah answered 2 years ago

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