How do I show that identity element of scalar multiplication does not follow from other axioms of the vector spaces?
137873
Problems that involves two facts in the definition of vector spaces
94929
Proof that the all bases of a subspace V consist of the same number of vectors?
154625
$\operatorname{span}(x^0, x^1, x^2,\cdots)$ and the vector space of all real valued continuous functions on $\Bbb R$
108955
Showing $(\mathbb{Q},+)$ is not isomorphic to $(\mathbb{R},+)$
10606
Finding how multiplication and addition behave on $\mathbb{F}_4$ without any result
34206
Quadratic form under $\mathbb{C}$ finite-dimension vector space always have a nonzero vector that yields zero?
106670
Existence of vector space complement and axiom of choice
98391
example of a nonempty subset is closed under scalar multiplication but not a subspace
18160
How to show that the group of nonzero real numbers under multiplication is not isomorphic to the group of real numbers under addition?
109649
idempotents acting as local identities
108742
Proving commutativity of addition for vector spaces
66283
Let V be a vector space. If every subspace of V is T-invariant, prove that there exist a scalar multiple c such that T=c1v
107389
Show that the vector space of real functions is not finitely spanned
21363
Prove the uniqueness of an inner product
78873
How to show that the monomials are not a Schauder basis for $C[0,1]$
81879
$Av=λv$ basis proof problems
88728
Dimensions of vector subspaces in a direct sum are additive