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单词 inverse of a complex number
释义

inverse of a complex number

If z is a non‐zero complex number and z = x + yi, the (multiplicative) inverse of z, denoted by z−1 or 1/z, is

P and its inverse Q

When z is written in polar form, so that z = re = r(cos θ + i sin θ), where r ≠ 0, the inverse of z is (1/r)e−iθ = (1/r)(cos θ−i sin θ). If z is represented by P in the complex plane, then z−1 is represented by Q, where ∠xOQ = −∠xOP and |OP|×|OQ| = 1.

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更新时间:2025/4/29 7:40:05