New posts in Vector Spaces

$W$ be a $d$-dimensional subspace of $\mathbb R^n$. Then how to show that $|\{(x_1,...,x_n) \in W : x_i \in \{0,1\}\}| \le 2^d$?

Uniqueness of the direct sum complement of a vector subspace

Explicit example of Hahn-Banach theorem on the finite dimensional space $\mathbb{R}^2$?

Orbit of a matrix can generates a basis?

Intuition for Formal Definition of Linear Independence

Mistake in proof about vector spaces

What is the use of Null Space?

Is there Any Homomorphism Between Vector Spaces that is not Linear?

How do you extend a basis?

Basis of infinite Vector Space $\mathbb R^{\infty}$