New posts in vector-spaces

Proving that $\operatorname{trace}(T) =\langle Te_1,e_1\rangle +\cdots+\langle Te_n,e_n\rangle $?

linear-algebra algebra-precalculus vector-spaces linear-transformations

How do I see that every left ideal of a square matrix ring over a field is principal?

linear-algebra abstract-algebra matrices ring-theory vector-spaces

Proof that multiplying by the scalar 1 does not change the vector in a normed vector space.

linear-algebra vector-spaces normed-spaces

When solving for eigenvector, when do you have to check every equation?

linear-algebra matrices vector-spaces eigenvalues-eigenvectors matrix-rank

Precedence of cross product and dot product

vector-spaces operator-theory vectors

Basis for the subspace constituted by the intersection of two planes

linear-algebra vector-spaces

Vectors, Basis, Dual Vectors, Dual Basis and Tensors

linear-algebra functional-analysis differential-geometry vector-spaces tensors

Why is it bad to pick basis for a vector space?

linear-algebra vector-spaces category-theory coordinate-systems change-of-basis

Relation between Interior Product, Inner Product, Exterior Product, Outer Product..

linear-algebra matrices terminology vector-spaces

Non-degenerate symmetric bilinear form; dimension formulae.

linear-algebra vector-spaces bilinear-form

How to find a linearly independent vector?

vector-spaces

Explanation of a question

linear-algebra vector-spaces

Isomorphism of Vector spaces over $\mathbb{Q}$

linear-algebra abstract-algebra vector-spaces

Orthogonal complement in a finite field ${\mathbb Z}^{n}_{q}$

linear-algebra abstract-algebra vector-spaces

How to show two infinite-dimensional vector spaces are not isomorphic

vector-spaces

Positivity of the alternating sum associated to at most five subspaces

linear-algebra combinatorics vector-spaces homological-algebra combinatorial-geometry

Image of unit ball dense under continuous map between banach spaces

analysis functional-analysis vector-spaces banach-spaces

If $X$ is infinite dimensional, all open sets in the $\sigma(X,X^{\ast})$ topology are unbounded.

general-topology functional-analysis vector-spaces

What is the relationship between $(u\times v)\times w$ and $u\times(v\times w)$?

linear-algebra vector-spaces

Dimension of Annihilator: $\text{dim} \, U^0 + \text{dim} \, U = \text{dim} \, V$

linear-algebra vector-spaces