Given that A is an element of complex numbers, there exists a B that is equal or greater than 0, and C elements of complex numbers with |C| = 1 such than D = BC Question Does d always uniquely determine B and C? Prove.

Given that A is an element of complex numbers, there exists a B that is equal or greater than 0, and C elements of complex numbers with |C| = 1 such than D = BC Question Does d always uniquely determine B and C? Prove.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

The topic is the Field Axioms and Order Axioms on the part of Complex numbers.
Given that A is an element of complex numbers, there exists a B that is equal or greater than 0, and C elements of complex numbers with |C| = 1 such than D = BC

Question

Does d always uniquely determine B and C? Prove.

Combination of a real number and an imaginary number. They are numbers of the form a + b , where a and b are real numbers and i is an imaginary unit. Complex numbers are an extended idea of one-dimensional number line to two-dimensional complex plane.

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