Question

show that F={a+bi |a,b ∈ Q} is a field

show that F={a+bi |a,b ∈ Q} is a field

Math   Algebra   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
(a) Show that GLn(F) is finite if and only if F is finite. (b) Show that...
(a) Show that GLn(F) is finite if and only if F is finite. (b) Show that if |F| = q then |GLn(F)| ≤ q^n2. (c) Show that GLn(F) is nonabelian if n > 2 (regardless of the field F.)
Suppose F is a field. Use the field axioms to show the following: (a) For all...
Suppose F is a field. Use the field axioms to show the following: (a) For all a,b in F, there exists some c in F such that a+c=b (b) For all a,b in F where a doesn't equal 0, there exists some c in F such that ac=b
Show that F[x] is not a field.
Show that F[x] is not a field.
Suppose that a ring ? is actually a field, like Q or Z17. Show that: (a)...
Suppose that a ring ? is actually a field, like Q or Z17. Show that: (a) The only two ideals possible are <0> and <1>. (b) ? is a principal ideal ring.
Show that if F is a field, then F[x] is a principal ideal ring
Show that if F is a field, then F[x] is a principal ideal ring
Show that involution : C -> C is given by a + bi -> a -...
Show that involution : C -> C is given by a + bi -> a - bi is both an additive and multiplicative isomorphism.
i) show that the function f: Q->Q defined by f(x)=1/((x^2)-2) is continuous at all x in...
i) show that the function f: Q->Q defined by f(x)=1/((x^2)-2) is continuous at all x in Q,but that it is unbounded on [0,2]Q. Compare to the extremal value Theorem.
An electric field E exerts a force F on an ion of charge q. At right...
An electric field E exerts a force F on an ion of charge q. At right angles to the electric field is a magnetic field B. a. Write an equation for the speed of the ion if the electric and magnetic forces are equal and opposite. b. Calculate the speed if the charge of the ion is 1.6E-19 C, the electric field is 6.0E6 N/C, and the magnetic field is 0.83 T. c. If the charge were twice as great,...
Let F be a field and Aff(F) := {f(x) = ax + b : a, b...
Let F be a field and Aff(F) := {f(x) = ax + b : a, b ∈ F, a ≠ 0} the affine group of F. Prove that Aff(F) is indeed a group under function composition. When is Aff(F) abelian?
show that q(x,t)=f(x+vt) and  q(x,t)=f(x-vt) are general solutions for thworynof vibrating strings
show that q(x,t)=f(x+vt) and  q(x,t)=f(x-vt) are general solutions for thworynof vibrating strings
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT