Eh, kind of stuck on this question. I need some suggestions on how to tackle the problem..(adsbygoogle = window.adsbygoogle || []).push({});

1. The problem statement, all variables and given/known data

Let U and V be the subspaces of R_3 defined by:

U = {x: aT * x = 0} and V = {x: bT * x = 0} (T means transpose)

where

a = [1; 1; 0] and b = [0; 1; -1]

Demonstrate that the union of U and V is not a subspace of R_3..

2. Relevant equations

See Above

3. The attempt at a solution

Should I just combine U and V, into something like UuV = {x: aT * x = b*T * x = 0}, since both equations equal to 0, just kind of combine them together..

any tips? am I on the right track?

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# (linear algebra) union of subspaces

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