Enlarging vectors ($V_1$ and $V_2$) to a basis for $\mathbb{R}^3$
3846
Let $v_{1}=(1,-2,3),v_{2}=(0,-1,2)$. Enlarge $\{v_{1},v_{2}\}$ to a basis for $\mathbb{R}^3$.
81879
$Av=λv$ basis proof problems
44685
Inner product on $C(\mathbb R)$
154142
Finding a specific basis for an endomorphism
96530
Matrix representation of linear map in this basis
95206
If $\{u,v,w\}$ is a basis for $V$, then $\{u+v+w,v+w,w\}$ is also a basis: is this proof correct?
57037
How does $(a,b)$ where $a,b\in \mathbb{Q}$ form a basis for $\mathbb{R}$?
60685
The vector space formed on C[0,1] and the norm $(\int_{0}^{1}|f(t)|^2 dt)^{1/2} $
685
Complex result for Real vectors in VectorAngle
137769
How to find a basis for a subspace?
112939
Find a basis for the subspace of $\mathbb{R}^4$ spanned by the given vectors.
152742
Finding a basis of an infinite-dimensional vector space?
133087
Prove that, if $\{u,v,w\}$ is a basis for a vector space $V$, then so is $\{u+v, v+w, u+v+w\}$.
120535
Basis of the polynomial vector space
48113
Find a basis for the vector space of symmetric matrices with an order of $n \times n$
4240
The proof of Triple Vector Products
157726
Can we write $\vec L=\vec r\times \vec p$ for an extended object?