Question: (a) Prove that if u1, ( ( ( ( um are vectors in , S = {u1, u2, ( ( ( ( uk}, and T

(a) Prove that if u1, ( ( ( ( um are vectors in , S = {u1, u2, ( ( ( ( uk}, and T = {u1( ( ( ( ( uk, uk+1, ( ( ( ( um}, then span (S) ( span (T). [Hint: Rephrase this question in terms of linear combinations.]
(b) Deduce that if = span (S), then = span (T) also.

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