- #1
dlevanchuk
- 29
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Eh, kind of stuck on this question. I need some suggestions on how to tackle the problem..
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..
See Above
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?
Homework Statement
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..
Homework Equations
See Above
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?