Definition
Let R i denotes the i t h row of the matrix A = [a i j ] then the elementary row operations on the matrix A are defined as: 3. R i g R i + kR j means multiply each element of j t h row by k and add it to the corresponding elements of i t h row. The corresponding column tra..
Let R i denotes the i t h row of the matrix A = [a i j ] then the elementary row operations on the matrix A are defined as: 3. R i g R i + kR j means multiply each element of j t h row by k and add it to the corresponding elements of i t h row. The corresponding column tra..Definition:
Union of two sets A and B is the set of all elements which are in A, or in B, or both in A and B. In Set builder form,..
Union of two sets A and B is the set of all elements which are in A, or in B, or both in A and B. In Set builder form,..Definition:
If A and B are any two sets then the relative complement of B in A is the set of all elements in A which are not in B. It is denoted by A - B..
If A and B are any two sets then the relative complement of B in A is the set of all elements in A which are not in B. It is denoted by A - B..Definition of Matrix
It is a rectangular array of numbers, arranged in rows and columns. The number of rows (say m) and the number of columns (say n) determine the order of the matrix. It is written as m x n (to be read as m by n). The plural of matrix is matrices. Matrix is usually denot..
Basic Definitions
Set: A well-defined collection of distinct objects is called a set. Notation of Sets: Capital letters are usually used to denote or represent a set. Representation of Sets: There are two methods of representing a set. (i) Roster Method (ii) Set builder form. ..
Definition of ratio
If a and b are two quantities with the same units such that ; then Ratio does not have any unit. The quantities a and b are called terms of the ratio. a' is called antecedent (first term) b' is called consequent (second te..
If a and b are two quantities with the same units such that ; then Ratio does not have any unit. The quantities a and b are called terms of the ratio. a' is called antecedent (first term) b' is called consequent (second te..Alternate Definition:
Difference of two sets A and B, A - B is a set whose elements belong to A but not to B. A - B is called the relative complement of B w.r.t. ..
Rational Numbers
Rational Numbers - We have defined rational numbers as those which can be expressed as fractions: We now define decimal fractions. The rational numbers can be expressed as terminating or recurring decimals. Decimal fraction has denominator as 10 or ..
Rational Numbers - We have defined rational numbers as those which can be expressed as fractions: We now define decimal fractions. The rational numbers can be expressed as terminating or recurring decimals. Decimal fraction has denominator as 10 or ..Prime Number
Numbers which are divisible only by themselves and by 1 are called as prime number..
Whole numbers
The set of whole numbers is the set of natural numbers along with zero. so W = the set of whole numbers = 0,1,2,3,............ so Zero is the least number of the set of Whole numbers. As the whole numbers is an infinite set we cant d..
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