Find the multiplicative inverse of each of the complex numbers given in the Exercises 11 to 13 :
 - i.

Solution:

A complex number is the sum of a real number and an imaginary number. A complex number is of the form a + ib and is usually represented by z.

Here both a and b are real numbers. The value 'a' is called the real part which is denoted by Re(z), and 'b' is called the imaginary part Im(z). 

Also, ib is called an imaginary number.

The given complex number is,

z = - i

Then, z = i and

|z|² = 1²

= 1

Therefore, the multiplicative inverse of - i is given by

z^{- 1} = z/|z|²

= i/1

= i

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NCERT Solutions Class 11 Maths Chapter 5 Exercise 5.1 Question 13

Find the multiplicative inverse of each of the complex numbers given in the Exercises 11 to 13 : - i.

Summary:

A complex number is given. We have found the complex number's multiplicative inverse and it comes out to be i.