Hello, hope you can help me to answer a question relatively short from one of my exercises about Vector spaces, I thank you in advance.
So I have not managed to show simply that set E is a linear subspace of
, to give a basis and the dimension :
That is the statement:
What I 'd say :
Applying the method to show that a set is a linear subspace :
To prove the stability of E for the addition and multiplication by a scalar, I considere 2 elements : "a" and "b" in E:
all that is necessary is to show that
In particular, I want you to help me to prove the stability of E.