New posts in vector-spaces

Must an injective or surjective map in an infinite dimensional vector space be a bijection?

linear-algebra vector-spaces linear-transformations examples-counterexamples

Can it be true that $\|v^t x\|>1$?

vector-spaces vectors cross-product

Intuition for Formal Definition of Linear Independence

linear-algebra vector-spaces intuition

Addition and Tensor product of Vector spaces for beginners : Concrete example

vector-spaces tensor-products direct-sum direct-product

Quotient spaces and Subspaces

linear-algebra vector-spaces quotient-spaces

Vector space over an infinite field which is a finite union of subspaces [duplicate]

linear-algebra vector-spaces

Geometric understanding of the Cross Product

linear-algebra matrices vector-spaces determinant cross-product

Proof for showing that $\text{dim}(W)\leq \text{dim}(V)$

linear-algebra vector-spaces proof-writing solution-verification vectors

On the canonical isomorphism between $V$ and $V^{**}$

linear-algebra vector-spaces definition self-learning

Angle between two vectors?

linear-algebra vector-spaces

Determinant of a polynomial

linear-algebra polynomials vector-spaces determinant

Prove that the field F is a vector space over itself.

linear-algebra vector-spaces field-theory

Prove that $\dim(U_1 \cap U_2 \cap U_3) \geq \dim(U_1) + \dim(U_2) + \dim(U_3) − 2n$

linear-algebra vector-spaces

Does $\mathbb{R}^n$ have a real vector space structure with dimension other than $n$?

linear-algebra vector-spaces

Prove that the set $\left\{ x, Ax, \dots, A^{k-1} x \right\}$ is linearly independent

linear-algebra matrices vector-spaces

Find the equation of the plane passing through a point and a vector orthogonal

linear-algebra vector-spaces parametric

For $A\in\mathbb{R}^{m\times n}$, prove that $\mathcal{R}(A^+) = \mathcal{R}(A^T)$.

linear-algebra vector-spaces svd pseudoinverse

What's an example of a vector space that doesn't have a basis if we don't accept Choice?

linear-algebra vector-spaces set-theory axiom-of-choice hamel-basis

Line integral vs Arc Length

calculus multivariable-calculus vector-spaces

"An affine space is nothing more than a vector space whose origin we try to forget about, by adding translations to the linear maps."

linear-algebra geometry vector-spaces linear-transformations affine-geometry