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Question
Class 11MathematicsComplex Numbers and Quadratic Equations

Find the multiplicative inverse of 2 – 3i.

Verified Answer

Let z = 2 - 3i

Then z̄ = 2 + 3i and |z|2 = 22 + (-3)2 = 13

Therefore, the multiplicative inverse of 2 - 3i is given by

z-1 = z̄/|z|2 = 2 + 3i/13 = 2/13  + 3/13i

Find the multiplicative inverse of 2 – 3i. | Shiksha Nation