Matrix Inverse

) under (if is active; otherwise, directly under ) to define a matrix of variables as the inverse of a square input matrix. You add it by right-clicking the node and choosing or by right-clicking the node and choosing .

You can define a for the node, and a namespace for variables using the field. For the , see About Selecting Geometric Entities.

In addition, the window for a node contains the following section:

In this section, you define the input matrix to invert. Choose a : (the default), , or . For a symmetric or Hermitian matrix, you only enter the upper-triangular part of the matrix. A Hermitian matrix (or self-adjoint matrix) is a complex square matrix that is equal to its own conjugate transpose. From the list, choose a matrix size from 1x1 to 9x9; the enter the matrix elements in the table below.

The resulting matrix inverse is available as a list of scalar variables with names <name>.invT<i><j>, where <name> is the namespace set in the field, and <i> and <j> are integer indices. The input matrix with names <name>.T<i><j>, as well as the matrix determinant <name>.detT are also made available. Note that the determinant is not computed for matrices of size 4x4 or larger; if required, use a node instead.

You can use individual components where variable expressions are allowed, but also evaluate all variables at once using a matrix evaluation node under For example, select under if it the node has been defined as with the name in .