Explicit construction of a basis in a finite dimensional vector space
64243
How to find a 4D vector perpendicular to 3 other 4D vectors?
88013
injective linear transformation basis.
33642
Finite dimensional subspace of $C([0,1])$
145885
Linear transformation preserving orthogonality
32420
A complete orthonormal system contained in a dense sub-space.
113326
Proving orthogonality of vectors in a complex vector space
18373
Can infinite-dimensional vector spaces be decomposed into direct sum of its subspaces?
19415
Proof that every finite dimensional normed vector space is complete
120344
Are there nontrivial vector spaces with finitely many elements?
122623
Geometric intuition for the tensor product of vector spaces
29030
Vector space with new scalar multiplication defined over finite field still vector space?
106670
Existence of vector space complement and axiom of choice
18913
How to find a basis for the intersection of two vector spaces in $\mathbb{R}^n$?
78648
Find an orthonormal basis for the subspace of $\mathbb R^4$
15811
Finding a basis for a certain vector space of periodic polynomials
26497
Take $\mathbb{R}$ as a vector space over $\mathbb{Q}$, then a basis for $\mathbb{R}$, then $|B|=2^{\aleph_0}$
15300
How to show that $(W^\bot)^\bot=W$ (in a finite dimensional vector space)