From the above examples, the nine component { T ^ ^ i j } are split into subspaces formed by one, three and five components. These numbers add up to the number of components of the original tensor in a manner similar to the dimension of vector subspaces adding to the dimension of the space that is a direct sum of these subspaces. Similarly, every element of { T ^ ^ i j } can be expressed in terms of a linear combination of components from its invariant subspaces: