A nonempty set R, equipped with two binary operations, called addition (+) and multiplication (.) is called a ring if the following…
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Matrices have a wide range of applications in various disciplines such as chemistry, Biology, Engineering, Statistics, economics, etc.

Introduction(Increasing and decreasing functions) A function is said to be increasing function in an interval [a, b] if y increases as well…

Graph theory is intimately related to many branches of mathematics. It is widely applied in subjects like, Computer Technology, Communication Science, Electrical Engineering, Physics, Architecture, Operations Research, Economics, Sociology, Genetics, etc. In the earlier stages it was called slum Topology. It also has uses in social sciences, chemical sciences, information retrieval systems, linguistics even in economics also.

A binary operation * is a set A is a function from A × A to A. If * is a binary…

Mathematical induction is a mathematical technique is used to prove a statement, a theorem or a formula is true for every natural…

Definition(Ring) A nonempty set R, equipped with two binary operations, called addition (+) and multiplication (.) is called a ring if the…

A group is an algebraic structure (G, *) in which the binary operation * on G satisfies the following conditions: Condition1: For…

Principle of inclusion and exclusion can be defined as Let we have A and B are finite sets. Then A ∪B and…