Algebraic properties of complex numbers
Автор: Qais Ali Khan Lecturer Mathematics
Загружено: 2024-11-05
Просмотров: 397
Описание:
In this lecture Qais Ali khan explains the algebraic properties of complex numbers. Qais Ali Khan explains these properties with examples. Qais Ali Khan Explains the following properties of complex numbers.
commutative law for complex numbers, associative law for complex numbers, additive inverse of complex numbers, multiplicative inverse of complex numbers, if product of two complex numbers is zero then one of them is zero, product of two nonzero complex numbers can not be zero, additive identity and multiplicative identity.
After explaining these properties Qais Ali Khan has solved two questions on complex numbers where the concept of real part of complex numbers and imaginary part of complex numbers is used.
0:00 Intro
0:27 Commutative Law
1:00 Associative Law
2:10 Distributive Law
3:03 Additive Identity
3:42 Multiplicative Identity
4:24 If the product of complex numbers is zero
5:18 Inverses
5:31 Additive Inverse
7:22 Multiplicative Inverse
11:45 Example of Multiplicative Inverse
14:48 Question No. 1 on Complex Numbers
16:58 Question No. 2 on Complex Numbers
18:42 Outro
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