MathProblemsBank

1.11.7 Tensor calculus

Problem: Given the tensor: \[ A=\left(\begin{array}{ll|ll} 1 & 1 & 1 & -1 \\ 1 & 1 & 1 & -1 \end{array}\right)=a_{i j k} . \] Find components of tensors: 1) \( a_{(i j) k} \), 2) \( \left.a_{i(j k)}, 3\right) \) \( a_{(i|j| k)} \),4) \( a_{(i j k)} \).