Author(s)

Tsutomu Matsuura^1*, Saburou Saitoh²

¹Division of Mechanical Science and Technology, Gunma University, Kiryu, Japan.
²Institute of Reproducing Kernels, Kiryu, Japan.

In this paper, a new viewpoint of the division by zero z/0 = 0 in matrices is introduced and the results will show that the division by zero is our elementary and fundamental mathematics. New and practical meanings for many mathematical and physical formulas for the denominator zero cases may be given. Furthermore, a new space idea for the point at infinity for the Eucleadian plane is also introduced.

Division by Zero, z/0 = 0, Field, Y-Field, Point at Infinity, Infinity, Matrix, Cramer’s Law, Area, Volume, Parallel Lines, Degeneracy of Figures, Hooke’s Law

Matsuura, T. and Saitoh, S. (2016) Matrices and Division by Zero z/0 = 0. Advances in Linear Algebra & Matrix Theory, 6, 51-58. doi: 10.4236/alamt.2016.62007.