ENGG 2400 Lecture Notes - Lecture 21: Sinj

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1, a + jb is a complex number where a is the real part and b is the imaginary part. The complex number a + jb can be plotted on the complex plane as: 1. 1 addition and subtraction (a + jb) + (c + jd) = (a + c) + j(b + d) (a + jb) (c + jd) = (a c) + j(b d) 1. 3 division (a + jb) (c + jd) = ac + jad + jbc + j2bd. = (ac bd) + j(ad + bc) a + jb c + jd. C jd c jd a + jb c + jd (ac + bd) + j(bc ad) c2 + d2 (ac + bd) c2 + d2 + j (bc ad) c2 + d2. 1. 4 complex conjugate (a + jb) = a jb. The relationship between a complex number and its conjugate on the complex plane is shown as:

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