Proving linear bijection of vector space mapping.
59133
Show that an inverse of a bijective linear map is a linear map.
112231
Showing that a one-to-one linear transformation maps a linearly independent set onto a linearly independent set
130381
bijection from $(a,b)$ to $\Bbb R$
86362
Cyclic vectors in a real vector space
31391
bijection between $\mathbb{N}$ and $\mathbb{N}\times\mathbb{N}$
133711
Orthogonal basis for infinite-dimensional vector spaces
49833
Simple bijection $\mathbb N_0 \times \mathbb N_0 \to \mathbb N_0$
96530
Matrix representation of linear map in this basis
110654
Vector Spaces and AC
1316
Reverse Triangle Inequality in vector space
44710
Vector space of real vectors over field complex scalars.
65472
From injective map to continuous map
157268
Proving a bijection with absolute value
57269
A special bijection between $\mathbb{R}\times \mathbb{R}$ and $\mathbb{R}$
48990
Linear map $f:V\rightarrow V$ injective $\Longleftrightarrow$ surjective
143517
Isomorphisms Between a Finite-Dimensional Vector Space and its Dual
13453
Bijection map from a set of subgroup to another set of subgroup under some condition.