Newbetuts

Demonstrate that the set of all function which takes pairs of numbers to a field, is the vectorspace of all m by n matrices

Prove that the following application between $M_{n×n}(\Bbb R)$ and $M_{n^2×n^2}(\Bbb R)$ is an isometry such that $\det φ(X)≠ 0$ whether $\det X≠ 0$

Book recommendations for linear algebra [duplicate]

Canonical examples of inner product spaces that are not Hilbert spaces?

Is closure of linear subspace of X is again a linear subspace of X??

Can a non-zero vector field have zero divergence and zero curl?

Vector Spaces: Redundant Axiom?

To show that orthogonal complement of a set A is closed.

Transpose of a linear mapping

Image of dual map is annihilator of kernel

What is the dimension of a matrix?

Can a 2d matrix have a 1d vector space?

Is it possible to have a vector space in which $\vec{v}=-\vec{v}$, yet $\vec{v}\neq \vec{0}$?

Hamel basis for $\mathbb{R}$ over $\mathbb{Q}$ cannot be closed under scalar multiplication by $a \ne 0,1$

Embedding torsion-free abelian groups into $\mathbb Q^n$?

Proof that $\mathbb{R}^+$ is a vector space

Relation between metric spaces, normed vector spaces, and inner product space.

New posts in vector-spaces

Independent sets in the span of a countable set are countable

Simple exercise regarding change of basis with polynomials and derivatives

Find plane by normal and instance point + distance between origin and plane

Demonstrate that the set of all function which takes pairs of numbers to a field, is the vectorspace of all m by n matrices

Prove that the following application between $M_{n×n}(\Bbb R)$ and $M_{n^2×n^2}(\Bbb R)$ is an isometry such that $\det φ(X)≠ 0$ whether $\det X≠ 0$

Book recommendations for linear algebra [duplicate]

Canonical examples of inner product spaces that are not Hilbert spaces?

Is closure of linear subspace of X is again a linear subspace of X??

Can a non-zero vector field have zero divergence and zero curl?

Vector Spaces: Redundant Axiom?

To show that orthogonal complement of a set A is closed.

Transpose of a linear mapping

Image of dual map is annihilator of kernel

What is the dimension of a matrix?

Can a 2d matrix have a 1d vector space?

Is it possible to have a vector space in which $\vec{v}=-\vec{v}$, yet $\vec{v}\neq \vec{0}$?

Hamel basis for $\mathbb{R}$ over $\mathbb{Q}$ cannot be closed under scalar multiplication by $a \ne 0,1$

Embedding torsion-free abelian groups into $\mathbb Q^n$?

Proof that $\mathbb{R}^+$ is a vector space

Relation between metric spaces, normed vector spaces, and inner product space.