The transposed form of the above stiffness matrix is also often used.
The stiffness matrix is for only one pair of contact springs.
Consequently, the developed stiffness matrix has total effects from all pairs of springs, according to the stress situation around the element.
In dimensions, becomes a mass matrix and a stiffness matrix.
In particular, for basis functions that are only supported locally, the stiffness matrix is sparse.
The resulting equation contains a four by four stiffness matrix.
The stiffness matrix in this case is six by six.
The stiffness matrix in the above relation satisfies point symmetry.
For the structure described in this example, the stiffness matrix is as follows:
Mathematically, this requires a stiffness matrix to have full rank.