non real numbers definition


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Complex Numbers
Square root of a negative number is known as an imaginary number . If x and y are real numbers, then x + iy is called a complex number . x is called the real part and y is called the imaginary part . The following ar..
Rational and Irrational Numbers
The rational numbers can be expressed as terminating or recurring decimals. Numbers which are not rational are called irrational numbers . When expressed as decimals, they are non-terminating and non-recurring. We can obtain infinite ..
Some important results
Some important results - Given a, b, c and d are non-zero real numbers, we can deduce other proportions by simple Algebra. These results are often referred by the names mentioned along each of the properties obtained. (1) If then bc = ad This property is known as INVER..
Matrices and Determinants
Summary - A matrix is defined as a rectangular array of elements. If the arrangement has m rows and n columns, then the matrix is of order mxn (read as m by n). A matrix is enclosed by a pair of parameters such as ( ) or [ ]. It is denoted by a capital letter. Two matrices are said to be ..
Real Numbers
Real Numbers - The union of the set of rational numbers and irrational numbers forms the set of real numbers. Q = {rational numbers} = {irrational numbers} Then = R = {real numbers..
Non-singular Matrix
A square matrix A is said to be non-singular if its determinant value is non-zero. i.e.,..
Quotient of two non-zero Complex numbers
If Z 1 = a + ib and Z 2 = c + id are two complex numbers, then quotient is defined as ..
Note:
Set of real numbers is a proper subset of the set of Complex numbers..
Complex Numbers
If x and y are real numbers, then x + iy is called a complex number. x is called the real part and y is called the imaginary part. The complex number x + iy is also written as an ordered pair (x, y) and is denoted by z. i.e., z = x + iy The positive..
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