This problem is a cute and simple approach using beautiful fact of matrices transformation in the linear algebra section. a, b and c can be taken from any commutative ring with identity, often taken to be the ring of real numbers or the ring of integers .It appeared in TIFR GS 2018.
This problem is a cute and simple application of spanning matrix space by niltopent matrices in the linear algebra section. It appeared in TIFR GS 2018.
This problem is a cute and simple application of calculating eigenvalues through geometry in the linear algebra section. It appeared in TIFR GS 2018.
This problem is a cute and simple application of the direct product of groups in the abstract algebra section. It appeared in TIFR GS 2018.
This problem is a cute and simple application of the real symmeric matrices in the linear algebra section. It appeared in TIFR GS 2018.
Today, we are going to discuss two possible problems for Arithmetical Dynamics in this post. 1.1. Existence of (pre)Periodic Points. These are the topics expanding on I.N. Baker’s theorem. Related reading: (1) Silverman Arithmetic of Dynamical Systems: p 165. Bifurcation polynomials. Exercise 4.12 outlines some known properties and open questions (** = open question). (2) […]
Here I gave some introduction of Arithmetical Dynamics. What is it and why do we study it. Also there is one motivational question upraised.
Here we will try to find out the best way to reach our final steps to work out on an open problem.