New posts in vector-spaces

What do mathematicians mean by "equipped"?

vector-spaces notation terminology hilbert-spaces

Prove $\mathbb{Z}$ is not a vector space over a field

linear-algebra vector-spaces

What are some examples of infinite dimensional vector spaces?

linear-algebra functional-analysis vector-spaces examples-counterexamples infinity

Effect of elementary row operations on determinant?

linear-algebra matrices vector-spaces intuition determinant

Is there a vector space that cannot be an inner product space?

linear-algebra vector-spaces inner-products

Every proper subspace of a normed vector space has empty interior

vector-spaces normed-spaces

The Frobenius norm is submultiplicative

real-analysis matrices vector-spaces matrix-norms

How to tell if a set of vectors spans a space?

linear-algebra vector-spaces

What is the main difference between a vector space and a field?

vector-spaces field-theory

If the field of a vector space weren't characteristic zero, then what would change in the theory?

linear-algebra matrices vector-spaces field-theory linear-transformations

Why are real symmetric matrices diagonalizable? [closed]

linear-algebra vector-spaces

Dot Product Intuition

geometry vector-spaces intuition

How to find a basis for the intersection of two vector spaces in $\mathbb{R}^n$?

linear-algebra vector-spaces

What isn't a vector space?

vector-spaces big-list

How to find perpendicular vector to another vector?

linear-algebra geometry vector-spaces vectors

Connections between metrics, norms and scalar products (for understanding e.g. Banach and Hilbert spaces)

functional-analysis vector-spaces banach-spaces hilbert-spaces inner-products

Difference between metric and norm made concrete: The case of Euclid

vector-spaces normed-spaces metric-spaces

In Linear Algebra, what is a vector?

linear-algebra vector-spaces

Cardinality of a Hamel basis of $\ell_1(\mathbb{R})$

functional-analysis set-theory vector-spaces banach-spaces cardinals

In categorical terms, why is there no canonical isomorphism from a finite dimensional vector space to its dual?

linear-algebra abstract-algebra vector-spaces category-theory dual-spaces