2. Let V be the set R regarded as a vector space over the field Q with the usual operations. Show that the set {k, k = 0, 1, 2,...} CV is linearly independent. You may use without proof that □ is a transcendental number.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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2. Let V be the set R regarded as a vector space over the field Q with the
usual operations. Show that the set {², k = 0, 1, 2, ...} CV is linearly
independent. You may use without proof that is a transcendental
number.
Transcribed Image Text:2. Let V be the set R regarded as a vector space over the field Q with the usual operations. Show that the set {², k = 0, 1, 2, ...} CV is linearly independent. You may use without proof that is a transcendental number.
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