Question

Find the complex conjugate of a complex number:


`i.`

Answer 1

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Given:

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀Complex number
`i`.

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • To find:

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀Complex conjugation of a complex number, which is presented above.

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Hello, Dariosl!

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Decision:

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________

⠀ The complex conjugation of a complex number
`i` will be the conjugation
`-i`.

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • How and why?

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________

⠀In order for us to check the correctness of our decision, we need to take the following easy step, which is performed very simply:

⠀;; ∥ Complex-conjugate to a purely imaginary number
`bi` is the opposite number
`-bi`:
`i` →
`-i`.

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Sincerely, Your ElskerNorge! :)

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________