MATH 1025 Lecture Notes - Lecture 24: Triangle Inequality, Additive Inverse

• School: York University
• Department: Mathematics and Statistics
• Course: MATH 1025
• Professor: Ada Chan

Document Summary

A complex number is any number z of the form z = a + bi, where a,b in r and i is the. Lecture 24-complex numbers imaginary unit. a is called the real part of z. is called the imaginary part of z. A complex number z = a + bi can be represented geometrically by the point (a, b) in the xy-plane, where the x-axis is the real axis and the y-axis is the imaginary axis. Addition z + w = (a + bi) + (c + di) = (a + c) + ( b + d)i. Subtraction z w = (a + bi) ( c + di) = ( a c) + (b d)i. Examples (-3 + 6i) + (5 i) = 2 + 5i (-3 + 6i) (5 i) = -8 + 7i. Then the product of z and w is zw = ( a + bi)(c + di) = (ac bd) + (ad + bc)i.