Topic explanation

Standard explanation

z * (1z) = 1. If z = x+iy, 1z = x-iyx²+y². Useful in linear systems with complex coefficients.

Key points

• z != 0
• multiply by conjugate of the bottom
• 1z = z-bar / |z|²
• w != 0
• MULTIPLICATIVE INVERSE OF A COMPLEX NUMBER: z * (1z) = 1. If z = x+iy, 1z = x-iyx²+y². Useful in linear systems with complex coefficien
• INVERSE: z * (1z) = 1.
• WHAT — MULTIPLICATIVE INVERSE OF A COMPLEX NUMBER: z * (1z) = 1. If z = x+iy, 1z = x-iyx²+y². Useful in linear systems with complex coefficien
• WHY — Why it matters: This rule is a separate learning unit inside division and the inverse. It can be defined, applied, a

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