Thedefinitionof "linearly independent" is that the only way we can have is to have . Write the equation in terms of , , ..., to get an equation in R^n.

The(2)Show that if {v1,v2,...vr} span V, then (v1)s ,(v2)s ,..., (vr)s span R^n and conversely.

(This is a follow up from the previous question) I don't know where to start.

Any input would help. Thanks in advancedefinitionof "span V" is that if v is any vector in V, then there exist numbers , , ..., such that . Again, write that equation in terms of , , ..., .

Mathematics definitions areworkingdefinitions- learn the precise words of definitions and use them in proofs.