Hi all,

Having a problem trying to show that the set

where a and b are real numbers, is not a subspace in R^4..

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- Aug 3rd 2011, 06:06 PMOilerShow a set is not a subspace of R^4
Hi all,

Having a problem trying to show that the set

where a and b are real numbers, is not a subspace in R^4.. - Aug 3rd 2011, 07:37 PMhatsoffRe: Show a set is not a subspace of R^4
Let and consider the vector

.

Then , and . But this system has no solution:

implies . Then gives us and therefore and . But then , contradicting the condition .