Sunday, June 13, 2010

Complex numbers:

Complex numbers:

When we talk about complex numbers,the best way to put complex numbers in words would be as follows:A number that has a real component and an imaginary component and is characterized as a point on a plane.
Here is an example of a complex number,

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 other way to learn about complex numbers is by learning about its types.The following are the types of complex numbers: Equality of Complex numbers, Sum of two Complex numbers, Negative of a Complex number, Additive identity of the Complex number, Additive inverse of a Complex number, Product of two Complex numbers, Multiplicative identity of Complex numbers, Conjugate complex numbers, Quotient of two non-zero Complex numbers, Reciprocal of a non-zero complex number or multiplicative inverse of a non-zero complex number.

It is also very important when we are studying about complex numbers to learn about the properties of complex number,we cannot ignore this aspect of the study of complex numbers.The Properties of Complex numbers are: Commutative Law for Addition, Commutative Law for multiplication, Additive Identity Exists, Multiplicative Identity Exist, Reciprocals (Multiplicative Inverses) Exist for nonzero complex numbers, Negatives (Additive Inverses) Exist for all complex numbers, Non Zero Product Law.

Hope you like the above example of Complex Numbers.Please leave your comments,if you have any doubts.

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