New posts in vector-spaces

If a symmetric matrix commutes with all symmetric matrices, is it then a multiple of the identity?

linear-algebra abstract-algebra matrices vector-spaces linear-transformations

Bounded linear functionals, normed vector space proof

functional-analysis vector-spaces

Prove that a linear subspace of $C([0,1])$ is closed

functional-analysis vector-spaces uniform-convergence

Is there a semi-norm that respects matrix similitary?

linear-algebra matrices vector-spaces normed-spaces

square root of $1/2 + \sqrt3/2?$

vector-spaces complex-numbers arithmetic

Why define vector spaces over fields instead of a PID?

ring-theory vector-spaces principal-ideal-domains

Axiomatization of angle measuring in real vector spaces

linear-algebra geometry vector-spaces

Does existence of a non-continuous linear functional depend on Axiom of Choice?

functional-analysis vector-spaces banach-spaces axiom-of-choice

Epic morphisms in the category of vector spaces. Is AC needed?

vector-spaces category-theory axiom-of-choice epimorphisms

Show that the dual space of the vector space of all polynomials is isomorphic to the infinite-dimensional Euclidean vector space over the reals

linear-algebra polynomials vector-spaces linear-transformations vector-space-isomorphism

What is (fundamentally) a coordinate system ?

linear-algebra geometry vector-spaces 3d coordinate-systems

Cosine similarity vs angular distance

vector-spaces vectors

"Non-linear" algebra

linear-algebra abstract-algebra vector-spaces

If $\ker f\subset \ker g$ where $f,g $ are non-zero linear functionals then show that $f=cg$ for some $c\in F$.

linear-algebra vector-spaces linear-transformations

Dimension of R over Q without cardinality argument. [duplicate]

linear-algebra vector-spaces irrational-numbers real-numbers

Why is the basis for the column space of a matrix $A$ merely the columns that which have pivots in $\operatorname{rref}(A)$?

linear-algebra vector-spaces

What is the norm measuring in function spaces

real-analysis measure-theory intuition vector-spaces

Direct sum and determinant

linear-algebra vector-spaces linear-transformations determinant

Why can a vector from an infinite-dimensional vector space be written as finite linear combination?

linear-algebra vector-spaces

Writing a vector space as a direct product of T-irreducible subspaces

linear-algebra abstract-algebra vector-spaces representation-theory