Let Pj(R) be the vector space over the reals of degree j polynomials. Show that if j

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Let Pj(R) be the vector space over the reals of degree j polynomials. Show that if j ≤ k then Pj(R) is an invariant subspace of Pk(R) under the differentiation operator. In P7(R), does any of P0(R), . . . , P6(R) have an invariant complement?
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Linear Algebra

ISBN: 9780982406212

1st Edition

Authors: Jim Hefferon

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