A tensor of rank $3$ satisfies $T_{ijk}=T_{jik}$ and $T_{ijk}=-T_{ikj}$. Show that $T_{ijk}=0$
12047
Tensors which are symmetric and antisymmetric in overlapping groups
150885
$v \otimes v' = v' \otimes v$ implies $v = av'$
21992
Examples proving why the tensor product does not distribute over direct products.
147585
Tensor Product of the fraction field of the Gaussian Integers
38127
Equivalence between Kähler condition and $\partial_kg_{i\bar j} = \partial_ ig_{k\bar j}$
66546
Tensor product of reduced $k$-algebras must be reduced?
48524
Existence proof of the tensor product using the Adjoint functor theorem.
38412
Basis for tensor products
359
Show that $\ker \hat{T} = \text{ann}(\text{range } T)$
45179
When does the isomorphism $G\simeq \ker(\phi)\times \operatorname{im}(\phi)$? hold?
61274
If $AA^T$ is the zero matrix, then $A$ is the zero matrix
37537
Show that $det(A)=0$ for a Matrix $A$ Such That for $X=[2,3,4]^{T}$, $AX=0$
56206
Symmetry of the $3\times 3$ Cauchy Stress Tensor
5058
Eigenvalues of the rank one matrix $uv^T$
22133
Why is the covariant derivative of the determinant of the metric zero?
92033
Prove that $g$ is a submanifold: $g (t,u,v) = (t^2,u^2,v^2,\sqrt{2}uv, \sqrt{2}tv,\sqrt{2}tu)$
132653
How to show that $\mathfrak{sl}_n(\mathbb{R})$ and $\mathfrak{sl}_n(\mathbb{C})$ are simple?