# Mathematics

## Sets and Relations

Sets Set is a collection of well-defined objects. Set’s Representation Basically, there are two ways of a set representation. Types of Set 1-Null Set A set is called null set if it is empty or it does not have any elements and it is denoted by fi. 2-Singelton Set A set is called singleton if … Read more Sets and Relations

## Quadratic Form in Linear Algebra

Quadratic Form in Linear Algebra An expression is called quadratic form in the variables x1, x2, x3,………….,xn over field F. Where aij i=1,2,3,….n, j=1,2,3,….m are elements of F. If aij are real then quadratic form is called real quadratic form. Examples of Quadratic Form 1-x12+x22+ 6 x1 x2 is a quadratic form in variables x1 … Read more Quadratic Form in Linear Algebra

## Test for Convergence of Series

To understand test for convergence of a series you have to understand sequence and series and related concepts. Sequence A sequence S is a function whose domain is natural numbers and range is real numbers. i.e S: N->R. It is common practice to write a sequence S as Sn Examples of Sequences- Sn = <2n+1> … Read more Test for Convergence of Series