New posts in Vector Spaces

Free vector space over a set

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

Is the distance between two elements of a normed vector space at least the distance between their projections on the unit ball?

Cosine similarity vs angular distance

What is the difference between vector space and dual space?

Basis for a Subspace of Polynomials of Degree 5

Are there vector spaces with uncountable basis?

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

Using basis $e=[x^3,x^2,x,1]$ instead of $e=[1,x,x^2,x^3]$

Kernel of a mapping from a polynomial vector space to $\mathbb{R}^3$