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Let Wi and W2 be the subspaces of P(F) defined in Exercise 25 in Section 1.3. Determine

Chapter 1, Problem 27

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QUESTION:

Let Wi and W2 be the subspaces of P(F) defined in Exercise 25 in Section 1.3. Determine the dimensions of the subspaces Wi n Pn (F) and W2 n Pn (F).

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QUESTION:

Let Wi and W2 be the subspaces of P(F) defined in Exercise 25 in Section 1.3. Determine the dimensions of the subspaces Wi n Pn (F) and W2 n Pn (F).

ANSWER:

Step 1 of 2

Here  is a subspace of polynomials  with  whenever  is even.

is a subspace of polynomials  with  when  is odd.

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