Theorem 1. A real number can never be equal to imaginary number.
Proof: Let a≠ 0 and b≠ o are real numbers such that
Proof: (a + ib) = 0
a2 = (-ib)2 = i2b2 = -b2
a2 + b2 = 0
a = 0 and b = 0
Theorem 3: Two complex numbers are equal only when their real and imaginary parts are separately equal.
Proof: (a +ib) = (c + id)
(a + ib) – (c+id) = 0
(a – c) + i (b – d) = 0
(a – c) = 0 & (b – d) = 0
a = c & b = d
Theorem 4: If z є C, then;
i) Line(z) = z
To Schedule a Properties Of Complex Number tutoring session
To submit Properties Of Complex Number assignment click here.
Geometry Help | Calculus Help | Math Tutors | Algebra Tutor | Tutorial Algebra | Algebra Learn | Math Tutorial | Algebra Tutoring | Calculus Tutor | Precalculus Help | Geometry Tutor | Maths Tutor | Geometry Homework Help | Homework Tutor | Mathematics Tutor | Calculus Tutoring | Online Algebra Tutor | Geometry Tutoring | Online Algebra Tutoring | Algebra Tutors | Math Homework Helper | Calculus Homework Help | Online Tutoring | Calculus Tutors | Homework Tutoring