^^ [[Schutz - 2 - Differentiable Manifolds and Tensors|2. Differentiable Manifolds and Tensors]] << [[Schutz - 2.26 - Basis Transformations|2.26 Basis Transformations]] | [[Schutz - 2.28 - Functions and Scalars|2.28 Functions and Scalars]] >> # Tensor Operations on Components >** Tensor Operation** >*Tensor Operations* are operations on components of a tensor that produce components of the *same* tensor, independent of the basis used. The algebraic tensor operations are: 1. Addition of components of tensors of the same type 2. Multiplication of all components by a number gives a tensor fo the same type 3. Multiplication of components of two tensors gives a tensor whose type is the sum of the two 4. Contraction on pairs of indices