New posts in vector-spaces

What is the kernel of the tensor product of two maps?

linear-algebra abstract-algebra vector-spaces tensor-products multilinear-algebra

What is the difference between metric spaces and vector spaces?

vector-spaces metric-spaces

Why is the inclusion of the tensor product of the duals into the dual of the tensor product not an isomorphism?

vector-spaces

What Is An Inner Product Space?

linear-algebra vector-spaces inner-products

A rank-one matrix is the product of two vectors

linear-algebra matrices vector-spaces matrix-rank transpose

What is the geometric meaning of this vector equality? $\vec{BC}\cdot\vec{AD}+\vec{CA}\cdot\vec{BD}+\vec{AB}\cdot\vec{CD}=0$

linear-algebra vector-spaces vectors

Sub-dimensional linear subspaces of $\mathbb{R}^{n}$ have measure zero.

real-analysis measure-theory vector-spaces lebesgue-measure geometric-measure-theory

Is it possible to construct a quasi-vectorial space without an identity element?

vector-spaces

Smallest/Minimal bases of a topological space

general-topology vector-spaces matroids

Any two bases of a finite dimensional vector space must have the same number of elements.

linear-algebra vector-spaces self-learning

Using the Determinant to verify Linear Independence, Span and Basis

linear-algebra vector-spaces determinant

Meaning of row space

linear-algebra matrices vector-spaces

Change of basis matrix to convert standard basis to another basis

linear-algebra vector-spaces change-of-basis

Why in the union $\bigcup_{p \in U}T_p^*(\mathbb{R}^n)$ all of the sets $T_p^*(\mathbb{R}^n)$ are disjoint?

differential-geometry vector-spaces multilinear-algebra

Why it is important for isomorphism between vector space and its double dual space to be natural?

linear-algebra vector-spaces

Vector spaces - Multiplying by zero scalar yields zero vector

linear-algebra vector-spaces proof-writing proof-verification learning

Norm induced by convex, open, symmetric, bounded set in $\Bbb R^n$.

vector-spaces convex-analysis normed-spaces

Hahn-Banach Theorem for separable spaces without Zorn's Lemma

functional-analysis vector-spaces normed-spaces axiom-of-choice hahn-banach-theorem

Finding a unit vector perpendicular to another vector

linear-algebra vector-spaces

Relation between rank and number of distinct eigenvalues of a matrix

linear-algebra vector-spaces