Suppose U, V are proper subsets of Rn and are subspaces and U is a proper subset of V. PRove that V perp is a proper subset of U perp(adsbygoogle = window.adsbygoogle || []).push({});

Ok SO let U ={u1, u2, ..., un}

let V = {v1,...vn}

let V perp = {x1,x2,..., xn}

let U perp = {w1,...wn}

certainly u1 . w1 = 0

(u1 + u2 ) . (w1+w2) = 0

cu1 . cw1 = 0

everything till now is pretty much basically understood

i cant find a wayu to maek a proof work... Any hints would be appreciated!!

I realy want to be able to get this one!

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# Homework Help: Subspace problem

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