Let V be a vector space over F field and is nonzero linear functional. So for every and . Show that for every is a hyperplane.
Follow Math Help Forum on Facebook and Google+
It's fairly straight forward isn't it? I would first look at . It's easy to show that is a subspace. Now, given any other Let y be a single vector such that and show that for any x in , x- y is in .
View Tag Cloud