matrix algebra tutorial determinant

A formula is formed by using: (a) mathematical symbols and variables (b) given conditions, and (c) simplificatio..

In a given sentence, the variables are replaced by letters and the different operations are replaced by their mathematical symbols. We now arrive at a formula. ..

A function can be represented by the following methods:A function can be represented by the following metho..

{(1, 1), (2, 2). (3, 3), (4, 4)}..

Every one element of A corresponds to one element of B. Every first element has a corresponding second element. One-one relations in examples 1 and 2 are called one-one functions. Every element of set A has one image in set B. {(1, 4), (2, 4), (3, 4), (4, 5)} Here, one image has three pre-images..

The set of all the first elements of the ordered pairs of a function is called the domai..

If (a, b) is an ordered pair of the function then the set B is called the Co-Domain. The range is a subset of the co-domain. Domain and range have same definitions in relations and function..

Any relation on A x B in which (i) no two second elements have a common first element and (ii) every first element has a corresponding second element is called a functio..

The following are the Types of Functions or Mapping: (1) One-one function (2) Many-one function (3) Onto function (4) Into functio..

The mathematical concept of a function expresses the intuitive idea of deterministic dependence between two quantities, one of which is viewed as primary (the independent variable, argument of the function, or its "input") and the other as secondary (the value of the function, or "output"..