Let A = {1,2, 5, {8}, 11}. Identify each of the following as true or false. If the statement is false, rewrite the statement to make it true. (a) 8 € A (d) Ø € A (b) {11,5, 1} C A (c) {2,6} Z A (e) {2,5, 8} C A

Q: a – b -| < 1, if|a| < 1, and |b| < 1. 1- āb - Show that|-

A: From the given information. For , then show that .

Q: Let A = {1, 3, 5, 7, 9},  B = {3, 6, 9}, and  C = {2, 4, 6, 8}. (g) B ∪ C:  (h) B ∩ C

A:

Q: 5) now that for all n EN, if A1,A2, ..., A and B are any sets, then n 11 nc₁x) = (N₁) va (A₁\B) B.…

A:

Q: 2. Let U= {x:x € Z ,0 < x < 10} , A= { x: x € N ,x² – 5x = -6}, B ={ a , b} %3D and C={c, d, e }:…

A: That's easy. Have a good day!!! ID :- 20S19928

Q: Let A and (A, n2 1) be subsets of 2 An - A as n → 00 =P(A,) P(A). as n 0o,

A: The given question is related with probability. Given that A and An , n≥1 are subsets of Ω . We have…

Q: Let a, b, x, y ∈Zbe such that ax+by= 11. May we conclude that gcd(a, b) = 11?Why or why not? (Write…

A: Consider the given information:Let a,b,x,y∈ℤ be such that ax+ by=11.

Q: 1. Let, a, = 3, a2 = 4 and for n 2 3, a, = 2an-1+ an-2, express a, in terms of n.

A:

Q: 2. If A = {a,b,c}, B = {1,2,3}, C = {x}, and D = 0, list all of th the following sets. (a) Ax B (c)…

A:

Q: Show that if all A's are B's, and no B's are C's, then no A's are C's.

A:

Q: 3. Let, a, = 3, a2 = 4 and for n2 3, a, = 2an-1+ an-2 + nº+ 1, express a, in terms of n.

A:

Q: Let S = { a, {1, b} , (2 , c),4}, then {1, b} e S O TRUE O FALSE

A:

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: Prove or disproe: If C is a groun and a hsC then (ab)-1 h-1a-1

A:

Q: 3. A stamp collector wants to include in her collection exactly one stamp from each country of…

A:

Q: a. Show that if a, b, c, de Zwith a +b√2 = c+d√2, then a = c and b=d. You may use, without proof,…

A:

Q: Given F(A, B, C, D) = A'B'C'D' + A'B'C'D + A'BCD' + A'BCD, express F(A,B,C,D) and F '(A,B,C,D) in…

A: Solution: Given that F(A, B, C, D) = A'B'C'D' + A'B'C'D + A'BCD' + A'BCD Now, truth table Row no.…

Q: If X(z) = In(z - 2), then what's x(k) а. O b. ak O C. -ak / k d. others е. ak / k

A: Z transform and inverse Z transform

Q: Let, a, = 3, a2= 4 and for n2 3, a,= 2an-1+ an-2, express a, in terms of n. %3D

A: we have the nth term of A.P is given by  an=a+n-1d here,  a=3, d=4-3=1an=3+n-11=2+n we get,…

Q: Which of the following things is NOT contained in B? R

A: Given that the plane B, here we have to find the things is not contained in B.

Q: 1. Let, a, = 3, a2 = 4 and for n 2 3, a,= 2an-1+ an-2, express a, in terms of n.

A:

Q: 3. Let, a1 = 3, a2 = 4 and for n > 3, an = 2an-1+an-2 – 5, express an in terms of n.

A:

Q: 3. Let r and y be positive integers. 4. Let a, b, c e Z. If c divides a +b,

A:

Q: 1. Let, a1 = 7 and for n > 2, an = " express a, in terms of n.

A:

Q: Let V3 = {(a, b)|a, b E R} with the following operations: (a₁, a₂) + (b₁,b₂) = (a₁ + b₁, a₂ + b₂)…

A:

Q: Let X N(10, 23). Then P( X< 10) =

A:

Q: 7. Let H = {3,2} and two operations * and *' on H defined as follow: 3 ** 3 2 3 3 3 2 2 2 Is (H, *,…

A: This question is about application of Boolean algebra

Q: EIf a,,a,,a,,...,a, from an A.P. with common difference d, then prove that : а,а,а, а,а, а, а,а,а, ,…

A:

Q: 4. Let, a = 3, a2 = 4 and for n 2 3, a, = 2an-1+ an-2 +n, express a, in terms of n.

A:

Q: 5. If A = I then what is A?

A: Here given as A2=I Taking determinant both side A2=IA2=1A=±1 Thus A is non singular and inverse of A…

Q: 19. Show that (for n = 0, 1, 2,..) (a) F(-n, b; c; 1) = (c-b)n (c)₁

A: We have to show F-n,b;c;1=c-bncn Solution: By Pochhammer definition cn=Γc+nΓ(c)           (1) and…

Q: 3. Let, a1 = 3, a2 = 4 and for n > 3, an = 2an-1 + an-2 - 5, express an in terms of n.

A: We will solve the problem using recurrence relation

Q: Let X={x=(x1, x2, X3, X4) : Xi E {1,2,3,4,5,6,7,8,9,10,11,12} for i=1,2,3,4 such that x1 < x2 < X3 <…

A: Given:X={x=x1, x2, x3, x4 : xi∈1,2,3,4,5,6,7,8,9,10,11,12for i=1,2,3,4 such that…

Q: Let a, b e N. Choose all correct statements. O gcd(a, b) = gcd(-a, -b) O gcd(a, b) = gcd(a², b²) O…

A: We apply property of GCD to solve the problem

Q: Let A={a;a=3n and nEN,ns4} ,then A in Roster form is {3,6,9,12}

A: Roster or tabular form: In roster form, all the elements of a set are listed, the elements are being…

Q: Let, a1 = 3, a2 = 4 and for n > 3, an = 2an-1+an-2 +n², express an in terms of n.

A: a1=3, a2=4 n≥3; an=2an-1+an-2+n2 First from the given, the given values shows that the terms are in…

Q: - Show that (for n = 0, 1, 2, ..) (a) F(-n, b; c; 1) = - (c-b)n (c)n

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: country, 42% say that the government is not aggressive enough in pursuing people who cheat on their…

A: Since multiple parts are given questions on second image are answered. Step by step. Please repost…

Q: Let A={a; a=3n and nEN, ns4} ,then A in Roster form is {3,6,9,12}

A: To write the given set A in the Roster form, we use the definition of representation of a set in the…

Q: Let A = {{1} , Ø}, then O{Ø} C A, Ø CA O{Ø} Z A, Ø C A O{Ø} Z A, Ø L A O{Ø} C A, Ø L A

A: In this question we have to solve a set A.

Q: hich of the following groups are not mutually exclusive? Group of answer choices 20 year old people…

A: Two events are mutually exclusive or disjoint if they cannot both occur at the same time.

Q: a If 2" = ア,what is

A: Taking log both sides of the given equation

Q: R is commutative if and only if R[x] is Commutative. True or False

A: The given statement is true. If Rx is cummutative.So, R⊂RxRx is cummutative.R is also…

Q: e) Let A(x), C(x), S(x) and GP(x) be the statements "x is an animal," "x is a cat," "x is small,"…

A:

Q: 9) Determine whether AMNO = AQRS. Explain. M(0,-1), N(-1,-4), 0(-4,-3), Q(3,-3), R(4,-4), S(3,3)

A: Given, M0,-1;    N-1, 4;    O-4, 3Q3, -3;    R4, -4;   S3, 3 We have to determine whether  ∆MNO…

Q: Let A = {0, 2, 4, 6, 8, 10}, B = {0, 1, 2, 3, 4, 5, 6}, and C = {4, 5, 6, 7, 8, 9, 10}. Prove the…

A: We will prove the following identity: (A − B) − C = (A − C) − (B − C) A ∪ (B ∪ C) = (A ∪ B) ∪ C

Q: If X(z) = In(z - 2), then what's x(k) a. -ak / k b. -ak С. aк d. others e. ak /k

A: Inverse Z transform found using multiplication by k property

Q: * is said to be commutative in A for all a,b ɛ A Select one: O a a*b b * a O b.a * b = b * a Oc a+b…

A: * is said to be commutative in A for all a, b in A, if, Option (b) a*b = b*a

Q: a. If A and B are independent, and A and B are independent, show that A and B are also independent.

A:

Q: If X(z) = In(z - 2), then what's x(k) a. ak / k O b. -ak С. others d. ak е. -ak / k

A:

Q: C. Let S = {(x, y) ERX R: y - x = integer} List of four members of [-3]

A: we need to find (x,y) such that  y-x=-3 where x∈R and y ∈R so some of the possible values of the…

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.