0
So if you have a number z = a + bi. Then how to find 1 divided by z. The way to figure this is to get the denominator as a pure real number. Multiplying the numerator and the denominator by the complex conjugate {a - bi} will result in a pure real denominator.
(a - bi)(a + bi) = a² + abi - abi - (bi)² = a² + b². So the multiplicative inverse is
(a - bi)/(a² + b²)
Wiki User
∙ 13y ago
Add your answer:
Earn +20 pts
What are the elements in rational numbers having multiplicative inverse?
All rational numbers, with the exception of zero (0), have a multiplicative inverse. In fact, all real numbers (again, except for zero) have multiplicative inverses, though the inverses of irrational numbers are themselves irrational. Even imaginary numbers have multiplicative inverses (the multiplicative inverse of 5i is -0.2i - as you can see the inverse itself is also imaginary). Even complex numbers (the sum of an imaginary number and a real number) have multiplicative inverses (the inverse of [5i + 2] is [-5i/29 + 2/29] - similar to irrational and imaginary numbers, the inverse of a complex number is itself complex). The onlynumber, in any set of numbers, that does not have a multiplicative inverse is zero.
What is the Multiplicative Identity for rational numbers?
It is 1, as it is for all complex numbers - which includes real numbers.
What is the integer opposite of -9?
If you mean each side of 9 then the integers or whole numbers are 8 and 10
What are inverse numbers?
An inverse, without any qualification, is taken to be the multiplicative inverse. is The inverse of a number, x (x not 0), is 1 divided by x. Any number multiplied by its inverse must be equal to 1. There is also an additive inverse. For any number y, the additive inverse is -y. And the sum of the two must always be 0.
How do you write a program to print Inverse number in PHP?
There are two types of inverse numbers in this context: additive and multiplicative. An additive inverse number is a number that's had its sign flipped: positive becomes negative, and negative becomes positive. The PHP code for this would be: $result=-$number; A multiplicative inverse number is a number that's been divided into 1. So 5 becomes 1/5, and 1/5 becomes 1/1/5, or 5. The PHP code for this would be: $result=1/$number;
What are the elements in rational numbers having multiplicative inverse?
All rational numbers, with the exception of zero (0), have a multiplicative inverse. In fact, all real numbers (again, except for zero) have multiplicative inverses, though the inverses of irrational numbers are themselves irrational. Even imaginary numbers have multiplicative inverses (the multiplicative inverse of 5i is -0.2i - as you can see the inverse itself is also imaginary). Even complex numbers (the sum of an imaginary number and a real number) have multiplicative inverses (the inverse of [5i + 2] is [-5i/29 + 2/29] - similar to irrational and imaginary numbers, the inverse of a complex number is itself complex). The onlynumber, in any set of numbers, that does not have a multiplicative inverse is zero.
What is multiplicative inverse in rational numbers?
The inverse function of multiplication is division.
What numbers are their own multiplicative inverse?
One
What number does not have a multiplicative inverse?
A multiplicative inverse for 2 numbers exists if the 2 numbers are coprime, i.e. their greatest common divisor (or gcd) is 1. However, if your question refers to just a singular number, virtually all real numbers (with the exception of zero) have a multiplicative inverse.
Does the set of rational numbers have a multiplicative inverse?
Yes, and for any non-zero rational x, the multiplicative inverse is 1/x.
Does every non-zero number have a multiplicative inverse?
Every non zero number has a multiplicative inverse, which is 1 divided by that number. This stands for both real and complex numbers. This can be proved by letting x=some non zero number. x*(1/x)=x/x=1, therefore the multiplicative inverse of x is 1/x.
How do you find the multiplicative inverse of mixed numbers?
change it to an improper fraction and then do it
What is one of two numbers having a product of 1?
multiplicative inverse
Is the set of rational numbers contains the multiplicative inverse of each of its members?
help me
What is a numbers reciprocal called?
A number's reciprocal could be called a multiplicative inverse.
How are the reciprocal of nonzero number and the multiplicative inverse of the numbers related?
For numbers with ordinary multiplication defined on them, they are the same.
What is the definition of multiplicative inverse?
In a set S, the multiplicative inverse of a non-zero element x is an element of the set, y, such that x*y = y*x = i, the identity element of S. For the set of numbers, the multiplicative identity is 1 and the multiplicative identity is also denoted by 1/x or x^-1.
