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LA2 · 1

Quotients and direct sums

11 concepts · 30 questions

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LA2Problem●●○○○new1 Quotients and direct sums

Let V=R[x]≤4V = \mathbb{R}[x]_{\le4} and U={p∈V:p(1)=p(−1)=0}U = \{p\in V : p(1) = p(-1) = 0\}. Find dim⁡U\dim U and a basis of V/UV/U.