Course Topics:

Matrices and Determinants

Matrices : A rectangular array of entries is called a Matrix. The entries may be real, complex or functions. The entries are also called as the elements of the matrix. The rectangular array of entries are enclosed in an ordinary bracket or in square bracket.

Determinants : Let A = [aij] be a square matrix. We can associate with the square matrix A, a determinant which is formed by exactly the same array of elements of the matrix A. A determinant formed by the same array of elements of the square matrix A is called the determinant of the square matrix A and is denoted by the symbol det.A or |A|.

Permutations and Combinations

Permutations: The different arrangements that can be made with a given number of things taking some or all of them at a time are called permutations.

Combinations : The selection of a number of things taking some or all of them at a time are called combinations.

Sequences and Series

Sequence : A set of numbers arranged in a definite order according to some definite rule is called a sequence.A sequence is a function whose domain is the set N of natural numbers.

Series : Indicated sum of the terms in a sequence is called a series. The result of performing the additions is the sum of the series.


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