Purchase Solution

Question about Fields : Complex Numbers

Not what you're looking for?

Ask Custom Question

Please see the attached file for the fully formatted problems.

LET H =

a b
-b a : a,b is an element of C (complex numbers)

Is (H, +, .) a field? If not, give reasons.

Attachments
Purchase this Solution
Solution Summary

Fields are investigated and the solution is detailed and well presented.

Purchase this Solution
Free BrainMass Quizzes
Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

View More Free Quizzes
Related BrainMass Solutions

  • Fields : Complex Numbers

    30322 Fields : Complex Numbers LET F = a b -b a : a,b is an element of C (complex numbers), a² + b² ≠ 0 Is (F, +, .) a field? Please see the attached file for the complete solution. Thanks for using BrainMass.

  • irrational numbers

    314162 Groups, Rings and Fields: Example Questions Indicate which of the following statements about sets under the specified operations are true. For the ones that are false, provide one counter-example.

  • Real-Life Applications of Complex or Imaginary Numbers

    The solutions to the equation will then be complex numbers (i.e., involve the imaginary unit i). Question: In the real world, where might these so-called imaginary numbers be used?

  • Question about Complex numbers in Polar Form

    444715 Question about Complex numbers in Polar Form Plot the complex number. Then write the complex number in polar form. Express the argument as an angle between 0 and 360degrees. 2 Z = ? (cos ? + i sin ?

  • Orbitals - Strong/Weak Fields

    542278 Orbitals: Strong and Weak Fields Question 1: Consider the [Mn(H2O)6]^2+ a) Draw the crystal-field energy level diagram for the 3d orbitals and show the placement of d electrons assuming this is a weak-field complex ion.

  • Imaginary and irrational numbers

    On the other hand, it is difficult to find tangible real world analogues for complex numbers. What about, for that matter, the irrational numbers, which complete the real number system?

  • Finite Extension Field and Isomorphism

    Finite Extension Fields and Isomorphisms are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

  • Ring proofs

    a. show that every subfield of complex numbers contains rational numbers b. show that the prime field of real numbers is rational numbers c. show that the prime field of complex numbers is rational numbers 2. a. Let R be a domain.

  • Imaginary ( Complex ) Numbers, Discriminants and Real World Applications

    The solutions to the equation will then be complex numbers (i.e., involve the imaginary unit i). Question: In the real world, where might these so-called imaginary numbers be used? 2.

View More Related Solutions