2 Let o (1 3 5)(2 4) and T (1 5)(2 3) be elements of S. Find o,or,to, and to

Q: 10 -8 -2 -2 0 2 2 -2 24. Let A = and w = Determine 1 -1 1 0 -2 if w is in Col A. Is w in Nul A? 6

A: Consider , A=10-8-2-2022-21-160110-2  and w=2202 To determine if w is in column of A. In matrix take…

Q: O pts Question 15 Which of the following is equivalent to the expression V125æ³ y – V5æ? O 5|æy³|/5æ…

A: Given expression

Q: 3. Prove that if d is a common divisor of a and b, then d = gcd(a, b) if and only ir gcd(a/d, b/d) =…

A:

Q: 1 Let C = [c1, c2, c3] = -1 2 3 -1

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Q: Let -8 -2 -9 6. 4 8 and w = 1 4 4 -2 Determine if w is in Col A. Is w in Null A?

A: We can solve this using given above information. -8-2-9648404 and W=21­2 First we calculate Col (A)…

Q: 3. Let U = {p, q, r, s, t}, D = {p, r, s, t}, E = {q, s}, F = {p,t} and G = {s}. Determine whether…

A: Given,  U={p,q,r,s,t} , D={p,r,s,t} , E={q,s} , F={p,t} and G={s} . To determine whether the given…

Q: b. Let A and B be elements in Sn T. Show that An BE S N T. c. Let A¡ be elements of SnT for i € I.…

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Q: 1 2 1 1 Let A = 1 1 2 1 ,v = 1 1 2, 1 () Which amongst v1, v2, v3 is an element of null(A)? Only vi.…

A: Check one by one multiplication with A

Q: Problem 5. Suppose the rabbit population r and the wolf population w are governed by dr dt dw dt (a)…

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Q: Let A=0 1 1 then adj(A)= 0 0 1 Select one: a. 1 1 1 0 1 1 O b. 1 0 0 -1 1 0 0 -1 1 1 -1 0 0 1-1 0 0…

A: To find: adjoint of the matrix

Q: .3 T Evaluate In In e²+j²4

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Q: Given that P(A or B) = 4P(A)= and P(A and B) = 5, find P(B). 19 OA. 72 O B. 7 96 OC. 7/12

A: given data P(A or B) = 1/4 P(A) = 1/8 P(A and B) = 1/9 P(B) = ?

Q: B. Suppose a die is tossed 3 times. We can represent an outcome of this process by an ordered 3-…

A:

Q: Let A, = {..., – 2, – 1,0,1,..., i}. Find ỦA, i31

A: First we find A1, A2, A3,...An, then find union as in next step.

Q: How can we immediately tell from these tables that the operations of addition and multiplication are…

A: By the properties of additive group and multiplicative group we write the answers of given…

Q: a. Find C if C = AʘB.

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: A13 0, 1 1 0 P =| 1 P = 0 No4. Let A = a23 1 A33 3 0 Compute P,A, PP,A.

A:

Q: B. Suppose a die is tossed 3 times. We can represent an outcome of this process by an ordered 3-…

A:

Q: If X = {1,2.3}, A and B are IFSs where A= (x,{1},{2}) and B = (x,0,{2,3)) then An B

A: Intersection of Two Sets The intersection of two sets is the set of elements that are common to…

Q: 8.1 Carry out the indicated multiplications in S6- 4 5 6 6 142 5) ( 4 3 2 1 6) 3 6. a) 3 b) (} 4 3 4…

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Q: If x[n]= {2,0,3,4}, x[(n-2),]= O a. {3,4,2,0} O b. {3,0,2,4} c. (2,4,3,0} O C.

A: The sequence is xn=2, 0, 3, 4. Then,  x0=2x1=0x2=3x3=4 Now, consider the sequence xn-24. Then, we…

Q: 1 Let C = [c1, c2, c3] = -1 2 3 -1

A: Steps to find the projection of c1 : Find the orthonormal basis e1 of c2 and e1, e2 of {c2, c3}.…

Q: Let A = { {a}, {b}, {c}, {d}, {e} } Determine by extension P(A

A:

Q: Suppose A1, A2, ..., 430 are thirty sets each having 5 elements and B₁, B2, ..., B₁ are n sets each…

A:

Q: Let A={ 1,{1}, {2,3}}. Which of the following is NOT true?

A: Given,           A=1,1,2,3

Q: Consider the following permutations in S9 1 2 3 4 5 6 7 8 9 (1 2 3 4 56 7 8 and r= 3. 5214 6. 9 78 5…

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Q: If 3 1 0 A = | 5 2 -1 1 4 - 2 The adjoint of A is -1 1 9 9. 18 - 6 3 -11 – 11 1 True False

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Q: Let A = [ L 1 -1 4 24 2 37 2 1 J , V = Is v in Nul(A)? Type "yes" or "no". no Is w in Nul(A)? Type…

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Q: If P(A/B) = P(A) and P(B/A)=P(B), then A and B are: O A. Mutually exclusive O B. Dependent O C.…

A: Equally likely events:   The two events are said to be Equally likely event if every event has the…

Q: 4. Let A

A: Given,                A=1, 2, a, b, ϕ

Q: Let a, b, c E Z. show that ca & cb if and only if c (a, b).

A: Division properties are used to prove it

Q: Let Az = { k, k + 1, ..., k²}, for k 1,2,3, .. Find U은1Ak-nE1 Ax

A:

Q: (2b) Let I = {2,4, 6, 8, 10} and S« = { a | a E I}. Prove or disprove the following statement: "If S…

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Q: 31 Let A =-1 4 and B = 3] 2 [3 -1 . Compute the (3, 1) entry of AB.

A: Given: A=23−1403  and  B=3−13124[AB](3,2)=?[AB](2,3)=?

Q: A={Ø, {Ø}, 1, {1, Ø}, 2} Ø E A {Ø} € A O Option 1 Option 2 {1} € A {2, Ø} E A

A:

Q: 4. Let M = {Civic, Corolla, Altima} and S = {Coupe, Sedan} List the elements of M x S.

A: Let M=Civic, Corolla, Altima and S=Coupe, Sedan

Q: 11. Find the elements of C if: -3 A-[Band 34-48+6C-[1024] = = 22 22]. 8

A: Given:       A=-3-486       B=5-12-4    3A-4B+6C=1322104