An Matrix
is a linear transformation (linear Map) Iff, for every pair of
-Vectors and and every Scalar ,
(1) |
(2) |
Consider the 2-D transformation
(3) | |||
(4) |
(5) |
(6) |
(7) |
variables | type |
Hyperbolic Fixed Point | |
Elliptic Fixed Point | |
Parabolic Fixed Point |
See also Elliptic Fixed Point (Map), Hyperbolic Fixed Point (Map), Involuntary, Linear Operator, Parabolic Fixed Point
References
Woods, F. S. Higher Geometry: An Introduction to Advanced Methods in Analytic Geometry. New York: Dover, pp. 13-15, 1961.
© 1996-9 Eric W. Weisstein