Answer:
5
Step-by-step explanation:
Given a complex number x + yi then the conjugate is x - yi
Note the real part remains unchanged while the sign of the imaginary part is negated.
here z = 1 - 2i hence conjugate is 1 + 2i
and the product is
(1 - 2i)(1 + 2i) ← expand factors
= 1 - 4i² [ i² = - 1 ]
= 1 + 4
= 5
The product of z and its conjugate will be 5.
The complex number is the combination of the real part and the imaginary part. Then the complex number is given as
⇒ a+bi
In the graph, z is a complex number represented as a vector from the origin.
Then the complex number will be
z = 1 – 2i
Then the conjugate of z will be
⇒ 1 + 2i
Then the product of z and its conjugate will be
⇒ (1 – 2i)(1 + 2i)
⇒ 1² – 2²i²
We know i² = -1
⇒ 1 – 4(-1)
⇒ 1 + 4
⇒ 1² – 2²i²
⇒ 5
More about the complex number link is given below.
https://brainly.com/question/10251853
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