Question: 2 Exercise 1: Are an) : cos 233 2 cos 1? and g(;r) : cos 255 + 2 sin2 a: linearly independent? Exercise 2: Determine

2 Exercise 1: Are an) : cos 233 2 cos 1? and g(;r) : cos 255 + 2 sin2 a: linearly independent? Exercise 2: Determine whether the given functions are linearly independent- {17: (321417 3I4} Exercise 3: Let f1(:r) = x2 and f2(cr) = :r|:r| 1. Show that l-V(f1(:r), f2 (1')) : O for every real number. What do you conclude ? (Justify your answer). 2. Determine whether f1 and f2 are linearly dependent on (00, +00) (Justify your answer)

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