Question: Given the functions 2x and |x|, show that (a) These two vectors are linearly independent in C[- 1, 1]. (b) The vectors are linearly dependent

Given the functions 2x and |x|, show that
(a) These two vectors are linearly independent in C[- 1, 1].
(b) The vectors are linearly dependent in C[0, 1].

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