Question: if {v,w} is a base of a vector space V, then {v+w,v-w} is also a base of the vector space V. Prove? need to know the steps to solve or any help would be nice. thanks
Follow Math Help Forum on Facebook and Google+
Because {v,w} is a basis they are linearly independent. So suppose . But that means that . By independence we have What does that prove?
View Tag Cloud