Why in every vector space are the vectors $(-1)\vec{u}=-\vec{u}$?
13899
Proof that $-v = (-1)*v$
129810
What kind of vector spaces have exactly one basis?
17542
Why is $\sqrt{-x}*\sqrt{-x}=-x?$
146541
Why $\dim U+\dim U^\perp=\dim V$?
153127
Is $U=V$ in the SVD of a symmetric positive semidefinite matrix?
54217
Let $V$ be a vector space. Determine all linear transformations $T:V \rightarrow V$ such that $T=T^2$.
7396
Unique representation of a vector
101506
Why is $1, (x-5)^2, (x-5)^3$ a basis of $U=\{p \in \mathcal P_3(\mathbb R) \mid p'(5)=0\}$?
151930
What does it mean by $t=-1$?
47015
Vector Space Structures over ($\mathbb{R}$,+)
58113
Av = Bv for all v implies A = B?
74465
One-dimensional vector space and it's subspaces
100968
Why is $|e^{i \lambda z}| |e^{- \lambda y}|= |e^{- \lambda y}|$ here?
94499
What is $c + (-c)$?
13880
Example of vector space such that $cv = 0$ where $c \ne 0$ and $v \ne \vec{0}$
94929
Proof that the all bases of a subspace V consist of the same number of vectors?
60981
Understanding relation between Quotient Space and $S^1$