Conjugate, Addition and Subtraction of Complex Numbers

Conjugate, Addition and Subtraction of Complex Numbers

Conjugate, Addition and Subtraction of Complex Numbers 150 150 SchoolTutoring Academy

Conjugate of complex number

The conjugate of a complex number z = a + bi is:

a – bi

Example:

Conjugate of 7 – 5i = 7 + 5i

Addition of Complex Numbers

Sum of two complex numbers a + bi and c + di is given as:

(a + bi) + (c + di) = (a + c) + (b + d)i

Real parts are added together and imaginary terms are added to imaginary terms.

Example:

(3 + 4i) + (5 – 6i) = (3 + 5) + (4 – 6)i

=  8 – 2i

Subtraction of Complex Numbers

Difference of Sum of two complex numbers a + bi and c + di is given as:

(a + bi) – (c + di) = (a – c) + (b – d)i

Example:

(2 + 7i) – (3 + 5i) = (2 – 3) + (7 – 5)i

= -1 + 2i

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