Answer Happy

Posted: **Wed May 04, 2022 10:56 am**

: Let V Vn Be An Orthogonal Basis For R And Let W Span V Vk Is It Necessarily True That W Span Vk 1 1 (55.19 KiB) Viewed 16 times

Let (v₁,..., Vn} be an orthogonal basis for R" and let W = span (v₁, ... , Vk). Is it necessarily true that W span (Vk+1,..., vn)? Either prove that it is true or find a counterexample.