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Exercise 6

Avg difficulty 3.0

Show that Pn={a0∣a0∈R}⊕⋯⊕{anxn∣an∈R}\mathcal{P}_{n}=\text{$\{\hskip 1.00006pta_{0}\mid a_{0}\in\mathbb{R}\hskip 1.00006pt\}$}\oplus\dots\oplus\text{$\{\hskip 1.00006pta_{n}x^{n}\mid a_{n}\in\mathbb{R}\hskip 1.00006pt\}$}.

Hefferon, Linear Algebra, Vector Spaces, Combining Subspaces, Exercise 6

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Adapted from Linear Algebra © 2016 Jim Hefferon. Licensed under CC BY-SA 3.0 US. Source: Linear Algebra. Imported at revision df2262e.