Homework Statement
Hi, I have to prove that there's no exist a generating set for "x" with less of "n" vectors when "n" is the dimension of the basis of "x"
Homework Equations
is there a span(x) whith dimension m? when m<n and n is the dimension of the basis
The Attempt at a Solution...
Homework Statement
If x is a subspace of V so, span(x)=x
Homework Equations
span(x)=x
The Attempt at a Solution
If x is a subspace so, for any "a", "b" in x:
a+b∈x
and (c1)*a∈x
So a linear combination of x belongs to x but is equal to x?