Question

Modern algerbra - Let the set be T={0,1} and let the operation be multiplication. - Let...

Modern algerbra

- Let the set be T={0,1} and let the operation be multiplication.
- Let the set be T={0,1} and let the operation be addition.

I just need help determining whether the set is closed under the operation

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Let B be the set of all binary strings of length 2; i.e. B={ (0,0), (0,1),...
Let B be the set of all binary strings of length 2; i.e. B={ (0,0), (0,1), (1,0), (1,1)}. Define the addition and multiplication as coordinate-wise addition and multiplication modulo 2. It turns out that B becomes a Boolean algebra under those two operations. Show that B under addition is a group but B under multiplication is not a group. Coordinate-wise addition and multiplication modulo 2 means (a,b)+(c,d)=(a+c, b+d), (a,b)(c,d)=(ac, bd), in addition to the fact that 1+1=0.
Let S={(0,1),(1,1),(3,-2)} ⊂ R², where R² is a real vector space with the usual vector addition...
Let S={(0,1),(1,1),(3,-2)} ⊂ R², where R² is a real vector space with the usual vector addition and scalar multiplication. (i) Show that S is a spanning set for R²​​​​​​​ (ii)Determine whether or not S is a linearly independent set
Let R[x] be the set of all polynomials (in the variable x) with real coefficients. Show...
Let R[x] be the set of all polynomials (in the variable x) with real coefficients. Show that this is a ring under ordinary addition and multiplication of polynomials. What are the units of R[x] ? I need a legible, detailed explaination
Let ⋆ be an operation on a nonempty set S. If S1, S2 ⊂ S are...
Let ⋆ be an operation on a nonempty set S. If S1, S2 ⊂ S are closed with respect to ⋆, is S1 ∪ S2 closed with respect to ⋆? Justify your answer.
Decide whether each of the given sets is a group with respect to the indicated operation....
Decide whether each of the given sets is a group with respect to the indicated operation. If it is not a group, state a condition in the definition of group that fails to hold. (a) The set Z+ of all positive integers with operation multiplication. (b) For a fixed integer n, the set of all complex numbers x such that xn = 1 (That is, the set of all nth roots of 1), with operation multiplication. (c) The set Q'...
Determine whether the set with the definition of addition of vectors and scalar multiplication is a...
Determine whether the set with the definition of addition of vectors and scalar multiplication is a vector space. If it is, demonstrate algebraically that it satisfies the 8 vector axioms. If it's not, identify and show algebraically every axioms which is violated. Assume the usual addition and scalar multiplication if it's not defined. V = R, x + y = max( x , y ), cx=(c)(x) (usual multiplication.
Let V be the set of all triples (r,s,t) of real numbers with the standard vector...
Let V be the set of all triples (r,s,t) of real numbers with the standard vector addition, and with scalar multiplication in V defined by k(r,s,t) = (kr,ks,t). Show that V is not a vector space, by considering an axiom that involves scalar multiplication. If your argument involves showing that a certain axiom does not hold, support your argument by giving an example that involves specific numbers. Your answer must be well-written.
Let set A=[0,2)U[4,6] and B=[0,1], Show that |A|=|B|
Let set A=[0,2)U[4,6] and B=[0,1], Show that |A|=|B|
use the subspace theorem ( i) is it a non-empty space? ii) is it closed under...
use the subspace theorem ( i) is it a non-empty space? ii) is it closed under vector addition? iii)is it closed under scalar multiplication?) to decide whether the following is a real vector space with its usual operations: the set of all real polonomials of degree exactly n.
Decide whether each of the given sets is a group with respect to the indicated operation....
Decide whether each of the given sets is a group with respect to the indicated operation. If it is not a group, state a condition in the definition of group that fails to hold. (a) The set {[1],[3],[5]}⊂Z8 with the operation multiplication. (b) The set {[0],[2],[4],[6],[8]}⊂Z10 with operation addition.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT