Please help me understand the following question and if it can be solved in written form please thank you so much
This problem is similar to Examples 3.6.2 and 3.6.4 and to Exercise 8 in Section 3.6 of your SNHU MAT299 textbook.
We are given a set U. Now, for any (i.e. for any subset B of U) there is a unique (another subset which is unique once B is given) such that .
Given B take . Since , we have . This proves the existence of D.
To show uniqueness of D, suppose there is another set E which satisfies the same properties. Taking C=E we have . This implies .Similarly if we take C=D, we get .
Hence which proves the uniqueness of D.
Please help me understand the following question and if it can be solved in written form...
can some please help me understand this question and also if it can be handwritten not typed thank you so much Let U be any set. Prove that for every B ∈ ℘(U) there is a unique D ∈ ℘(U) such that for every C ∈ ℘(U), C \ B = C ∩ D. This problem is similar to Examples 3.6.2 and 3.6.4 and to Exercise 8 in Section 3.6 of your SNHU MAT299 textbook.
please help me with the following question thank you Suppose that A is a set and {Bi | i ∈ I} is an indexed families of sets. Prove that A × (Ui∈I Bi) = Ui∈I (A × Bi). This problem is similar to Theorem 4.1.3 and to Exercise 11 in Section 4.1 of your SNHU MAT299 textbook.
Hello, can you please help me understand this problem? Thank you! 3. Let V be finite dimensional vector space. T is a linear transformation from V into W and E is a subspace of V and F is a subspace of W. Define T-(F) = {u € V|T(u) € F} and T(E) = {WE Ww= T(u) for someu e E}. (a) Prove that T-(F) is a subspace of V and dim(T-(F)) = dim(Ker(T)) + dim(F n Im(T)) (b) Prove that...
If you could please explain how you solved this problem it would help me understand. Thank you! Net Income Planning Selected operating data for Oakbrook Company in four independent situations are shown below. Fill in the blanks for each independent situation. D Sales $325,000 $130,000 24 c. $ e. f. $ Variable expense $101,000 $4 a. g. b. $62,000 $48,200 $44,500 Fixed expense Net income (loss) before tax $15,000 $15,000 $28,800 $(5,500) Units sold 30,000 d. Unit contribution margin $5.20...
Can anyone please help me with these. i've already solved for a just need help on others In-dass 4-2-20 PE=0] KE=4974 m = 70kg a= S = 120N L a) Speed at bottom of Willis b How much work must to do to I bring sledder to rest "? a Howtar does sledder travel, along flat section, as he comes to rest ? d) Use Newtons 2nd law to find the acceleration of sledder
Please help me understand the following question thank you so much ). Let A = {x, y, z} and B = {w, x, y}. List the elements of ℘(A). Find ℘(A) ∩ ℘(B).
Can someone please help me understand the correct steps in solving this Number Theory practice question? Thank you! Prove that the sequence Bn we have... n- j Bn = 1 + rt j-1 we have Bn F+1 for neN.
in this problem I have a problem understanding the exact steps, can they be solved and simplified in a clearer and smoother wayTo understand it . Q/ How can I prove (in detailes) that the following examples match their definitions mentioned with each of them? 1. Definition 1.4[42]: (G-algebra) Let X be a nonempty set. Then, a family A of subsets of X is called a o-algebra if (1) XE 4. (2) if A € A, then A = X...
Hi can someone please help me understand how problem 1 is solved? Im not sure what else i can add, besides that i understand that J(ij) refers to the Coulomb integral and that K(ij) refers to the exchange integral. if there is anything else to add please let me know. In the class lecture notes, the result of the first-order perturbation calculation for the energy of lithium was given as E-24.2 +1.-K... This energy is added to the Evalue obtained...
Abstract Algebra Answer both parts please. Exercise 3.6.2 Let F be a field and let F = FU {o0) ( where oo is just a symbol). An F-linear fractional transformation is a function T: given by ar +b T(z) = cr + d ac). Prove that the set where ad-be 0 and T(oo) a/c, while T(-d/c) = o0 (recall that in a field, a/c of all linear fractional transformations M(F) is a subgroup of Sym(F). Further prove that if we...