Bilangan Kompleks

Bilangan kompleks
Bilangan kompleks terdiri dari bilangan real (nyata) dan bilangan imajiner (khayal)

Contoh bilangan nyata:
This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program.

This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program.

Contoh bilangan khayal:
This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program.

Bilangan kompleks dinyatakan dengan
This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program.

, dimana

dan

adalah bilangan real dan This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program.

adalah bilangan imajiner (khayal) dengan This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program.

.

Contoh bilangan kompleks:
This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program.

Operasi Dalam Bilangan Kompleks
Operasi Penjumlahan dan pengurangan
Cara melakukan operasi penjumlahan dan pengurangan dalam bilangan kompleks hampir sama dengan operasi penjumlahan dan pengurangan biasa, hanya saja ketika menjumlahkan dan mengurangi, kita kelompokkan antara kelompok bilangan real dan bilangan imajinernya.
Contoh 1:
This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program.

Jawab:

Contoh 2:
Jika This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program.

dan

, maka nilai dari 3A-5B adalah ....

Jawab:
This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program.

Operasi Perkalian Antar Bilangan Kompleks
Dalam operasi antar bilangan kompleks, prinsip yang digunakan sama dengan prinsip perkalian aljabar.

Contoh:
This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program.

Jawab:

Operasi Pembagian Antar Bilangan Kompleks
Sebelum mempelajari operasi penjumlahan bilangan kompleks, kita perlu memahami mengenai konjugate bilangan kompleks.

Definisi bilangan kompleks sekawan Jika $z=(x,y)\in \mathbb C$ maka $z=(x,-y)\in \mathbb C$ disebut bilangan kompleks sekawan dari z. (diambil dari sjamsoeri.wordpress.com/2010/08/14/bilangan-kompleks-sekawan-conjugate/)

Contoh: Jika diketahui bilangan kompleks 2+3i, maka konjugate dari bilangan tersebut adalah 2+3i.
Konjugate sering dilambangkan dengan garis pada bagian atas bilangan kompleks, contoh:
This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program.

Dalam pembagian bilangan kompleks caranya hampir sama dengan merasionalkan penyebut, hanya saja pembilang dan penyebut dikalikan dengan konjugate dari penyebut. Contoh:
This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program.

Jawab:

Bilangan Kompleks

Next

Newer Post

Previous

Older Post

0 comments: