10.Let V=P(1), the vector space of real polynomials. Determine whether or not W is a subspace of V, where i. W consists of all polynomials with integral coefficients. W consists of all polynomials with degree26 and zero polynomial. W consists of only even powers of t. ii.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.2: Linear Independence, Basis, And Dimension
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10.Let V=P(1), the vector space of real polynomials. Determine whether or not
W is a subspace of V, where
i.
W consists of all polynomials with integral coefficients.
W consists of all polynomials with degree26 and zero polynomial.
W consists of only even powers of t.
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M
Transcribed Image Text:10.Let V=P(1), the vector space of real polynomials. Determine whether or not W is a subspace of V, where i. W consists of all polynomials with integral coefficients. W consists of all polynomials with degree26 and zero polynomial. W consists of only even powers of t. @@@@@@@@@ M
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