What are all subspaces of $F[X]$? One could say that the even degree polynomials and the odd degree are subspaces and so put that $F[X]=(X^{2i+1})\oplus (X^{2j})\oplus (0)$ or $F[X]=F[X]\oplus(0)\oplus (0)$ ?
2026-03-30 08:36:46.1774859806
Find three subspaces $V_1, V_2, V_3$ of $V=F[X]$ such that $V=V_1\oplus V_2\oplus V_3$
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