Let $$U=\{(x,x,y,y)∈\mathbb{F}^4:x,y∈\mathbb{F}\}$$Find a subspace $W$ of $ \mathbb{F}^4$ make $\mathbb{F}^4=U⊕W$
2026-03-25 14:19:35.1774448375
Linear Algebra(vector space,subspace)
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We have $U= span \{(1,1,0,0), (0,0,1,1)\}.$
Try $W= span \{(1,0,0,0), (0,0,0,1)\}.$