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U⊕V = U⊕W; find U, V and W
I need to give an example of different vectorspaces U, V, W so that [itex]U \oplus V = U \oplus W[/itex].
Can anyone give a hint please? It's basically asking for V and W such that [itex]u_i + v_i = u_i + w_i[/itex] yet V and W have to be different. How?
I need to give an example of different vectorspaces U, V, W so that [itex]U \oplus V = U \oplus W[/itex].
Can anyone give a hint please? It's basically asking for V and W such that [itex]u_i + v_i = u_i + w_i[/itex] yet V and W have to be different. How?
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