Consider the vector spacesP0, P1, P2, . . . , Pn where Pk is the set of all polynomials
Chapter 4, Problem 45(choose chapter or problem)
Consider the vector spaces
\(P_{0}, P_{1}, P_{2}, \ldots, P_{n}\)
where \(P_{k}\) is the set of all polynomials of degree less than or equal to k, with the standard operations. Show that if j k, then \(P_{j}\) is a subspace of \(P_{k}\).
Text Transcription:
P_0, P_1, P_2, ldots, P_n
P_k
j leq k
P_j
P_k
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