Square matrices formula_212 with entries in a field formula_89 represent linear maps of vector spaces, say formula_214, and thus linear maps formula_215 of projective spaces over formula_89. If formula_212 is nonsingular then formula_218 is well-defined everywhere, and the eigenvectors of formula_212 correspond to the fixed points of formula_218. The "eigenconfiguration" of formula_212 consists of formula_33 points in formula_223, provided formula_212 is generic and formula_89 is algebraically closed. The fixed points of nonlinear maps are the eigenvectors of tensors. Let formula_226 be a formula_227-dimensional tensor of format formula_228 with entries formula_229 lying in an algebraically closed field formula_89 of characteristic zero. Such a tensor formula_231 defines polynomial maps formula_214 and formula_233 with coordinates