New posts in vector-spaces

Can we show that the determinant of this matrix is non-zero?

matrices vector-spaces vectors determinant functional-inequalities

Finding a basis for symmetric $k$-tensors on $V$

vector-spaces tensor-products tensors tensor-rank

Dimension of a Subspace of $\text{Hom}_\mathbb{K}(\mathcal{V},\mathcal{W})$ Consisting of Only Linear Transformations of Rank $\leq r$

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

What should we understand from the definition of orthogonality in inner product spaces other than $\mathbb R^n$?

linear-algebra vector-spaces

How much can we "cheat" and use vector knowledge in complex analysis?

complex-analysis multivariable-calculus vector-spaces physics

Coordinates vs components of a vector and Coordinate system vs basis of vector space?

vector-spaces vectors coordinate-systems

Does a finite field ${\bf F}_q$, viewed as a vector space over another finite field, have a basis of squares?

vector-spaces finite-fields sagemath

Understanding determinant $=0$

linear-algebra matrices vector-spaces determinant

General Steinitz exchange lemma

linear-algebra abstract-algebra reference-request vector-spaces

The Hairy ball theorem and Möbius transformations

complex-analysis vector-spaces

Explanation of a problem about vector space

linear-algebra vector-spaces

Rational numbers as vectors in infinite dimensional space with the basis $( \log 2,\log 3, \log 5, \log 7, \dots, \log p, \dots) $

linear-algebra number-theory vector-spaces rational-numbers

Product of binomial coefficient as a basis

combinatorics vector-spaces binomial-coefficients

All Invariant Subspaces of a Linear Transformation

linear-algebra vector-spaces eigenvalues-eigenvectors

Is it possible to define an inner product such that an arbitrary operator is self adjoint?

linear-algebra functional-analysis vector-spaces inner-products adjoint-operators

Exercise 1.1.3 in Charles Weibel’s book “An Introduction to Homological Algebra”

vector-spaces homological-algebra homology-cohomology

Tensor Products and Von Neumann's Direct Multiplication

abstract-algebra vector-spaces modules tensor-products math-history

Connection between algebraic multiplicity and dimension of generalized eigenspace

linear-algebra vector-spaces eigenvalues-eigenvectors

Isomorphism of rings implies isomorphism of vector spaces?

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

When will span of vectors plus a constant form a vector space?

linear-algebra vector-spaces