General vector spaces

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Reference no: EM13133401

Question: Let W be the space spanned by f = sinx and g = cosx.

(a) Show that for any value of theta, f, = sin(x + theta) and g_1 = cos (x + theta) vectors in W.

(b) Show that f_1 and g_1 form a basis for W.

Reference no: EM13133401

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