New posts in vector-spaces

If $X$ is a normed space and $Y$ a finite dimensional subspace, then $Y$ is closed.

real-analysis functional-analysis convergence-divergence vector-spaces normed-spaces

Find matrices that commute with $\operatorname{Diag}(1,1,-1)$.

linear-algebra matrices vector-spaces eigenvalues-eigenvectors linear-transformations

Why is it important that a basis be orthonormal?

vector-spaces orthonormal

How to prove that two non-zero linear functionals defined on the same vector space and having the same null-space are proportional?

linear-algebra functional-analysis vector-spaces operator-theory

Proving that every vector space has a norm.

linear-algebra functional-analysis vector-spaces

Dual Space Isomorphism

linear-algebra vector-spaces vector-space-isomorphism

Differences between infinite-dimensional and finite-dimensional vector spaces

linear-algebra abstract-algebra vector-spaces big-list

While proving that every vector space has a basis, why are only finite linear combinations used in the proof?

linear-algebra vector-spaces

Span of an empty set is the zero vector

linear-algebra matrices vector-spaces span

The set of all linear maps T:V->W is a vector space

linear-algebra vector-spaces linear-transformations

Is that true that $\|g\circ f\|\leq \|g\|\cdot\|f\|$?

linear-algebra functional-analysis vector-spaces metric-spaces normed-spaces

Cross Product Intuition

geometry vector-spaces analytic-geometry

Why do natural transformations express the fact that a vector space is canonically embedded in its double-dual but not in its dual?

vector-spaces category-theory intuition

Set sum of graphs of linear maps is a graph only if the maps are same

linear-algebra functions vector-spaces proof-writing linear-transformations

What is the dimension of $\{X\in M_{n,n}(F); AX=XA=0\}$?

linear-algebra matrices vector-spaces linear-transformations matrix-equations

Do you need the Axiom of Choice to assert that every real vector space has a norm?

logic vector-spaces axiom-of-choice

short exact sequence of holomorphic vector bundles splits but not holomorphically, only $C^{\infty}$

differential-geometry vector-spaces

Localization does not commute canonically with infinite direct products

abstract-algebra commutative-algebra vector-spaces

Do I understand metric tensor correctly?

differential-geometry vector-spaces tensors

What's the use of quadratic forms?

linear-algebra vector-spaces quadratic-forms