Determine a and b such that A is idempotent. (Select all that apply.) A = [18] a b O b = 0, a = any real number b = 1, a = 1 00 b = 1, a = 0 b = any real number, a = 1 Ob = -1, a = 1

Q: Let H = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, a, b, c, d, e, f} Let W = {(a, b) : a € H, b = H} be the…

A: Answer:-

Q: f α and p are constructible, then a ± p, ap and a/p when ß # 0, are also constructible.

A: (i) Since ? and ? are constructible so that (?,?) is constructible. The circle (x-?)2 +y2 =?2 is…

Q: a) 11001 / (01011 v 11010) b) (01011 10101) + 01010

A:

Q: Let Find M₁3 and C13. M13- C13- A = 2-4 2 0 Tom- 13 3 -6 3 -7 9 1 -9 7 0

A:

Q: Let A = 4 (15). 5). What is the (2, 1)-entry of 4-12 6 7 ℗ INPUT HELP

A:

Q: Find the solution to an 2an 1+ an-2 – 2an 3 , n > 3 with ao = 3, a1 = 6 and a2 = 0.

A:

Q: Construct a proof that ZEIF = ZGIH. н

A:

Q: 1 40 A-1 4 3 1-59 A

A: We will find the inverse of the matrix.

Q: |Let A¡ = [i − 1, i] for all integers i = 1,2,3,4. Find the following. a. A₁. A₂- b. A₁ U A₂ U A3 U…

A: The given set Ai=i-1, i for all integers i=1, 2, 3, 4. We have to find, a) A1, A2, A3, A4 b)…

Q: Find the in verse of 12 3 25 3

A:

Q: = Let a, b, and d be positive integers. Prove that if (a, b) : divides a, then (d, b) = 1.

A: Definition of gcd (a, b) =1 is a and b does not have common prime divisor. Using this we can easily…

Q: Let Find M13 and C13. M13 = C13= ND MI A = -1 -3 0 0 7 1 8 8 9 4 5 0 -6 7 -6

A:

Q: Evaluate the deteminat of each matris. A= 5-1 [213 3. A-I0 2 20-2 4 A 6 0

A:

Q: Let c, ax, be nonzero real numbers such that e. Find a given that ac² n=3 16 Ch Türkçe: c, a, 3…

A:

Q: Z/mZz Zm

A: We need to prove that Z / mZ is isomorphic to Zm .

Q: Let an = an-1+ an-2 with ao = 0, a1 = 1. Show that an is even iff ( if and only if) n is a multiple…

A:

Q: Let a, b and c be integers. Prove that if a does not divide b and a|(b+c), then a does not divide c

A: Let a, b and c be integers.

Q: Define the binary operator # by: a#b = the smaller value of a or b.; Find each of the following: a.…

A: Here , a#b is defined as smaller value of a or b

Q: Define a * b = 3a + b, where a, b € R. Find the following: 1. 8 * 3 2. 3 * 8 1+2 3. 3+4

A:

Q: Cosets

A:

Q: 3 -1 51 14 3 13], 8 - [- B = [-14 -¯3 ] 5 is the inverse of A, we nee 15+ C C 3-1 5 -14 -1 3][₁ 51 5…

A:

Q: [1 -2 3 3 4 12 -1 -21

A: Given : Matrix  1  -2  3 3  0   4 2  -1  -2

Q: et a, b, c be positive real numbers. a² 6² c² a c

A:

Q: Let a, b, and c be natural numbers. Prove a ∙ (b + c) = a ∙b + a ∙ c.

A:

Q: Can you find a,b,c, and d (if exists) such that AB = BA.

A:

Q: Let A be a set of n real numbers. Show that A+ A- A € (n).

A: As per the question we are given a set of n real numbers A and we have to show that : |A + A•A| =…

Q: 2 2 Let A = Compute 412 - A and (412)A. 6-2

A:

Q: Minimize the following Boolean expression: - e) POR + POR+ P Q R+PQR+P Q R+PQR

A: The given expression is PQR+PQR+PQR+PQR+PQR+PQR Use the formula A+A=1…

Q: Let i be a positive integer and A, = [-i+1,1]. Then U2, A

A: We have to use properties of union in this question.

Q: let a and b be integers. Show: if a * b is odd, then a is odd and b is odd

A: A number is even, if it is divisible by 2. A number is odd, if it is not divisible by 2. The odd…

Q: let A. 2. . find A"

A: We have, A=1201To find An we will calculate A1,A2,A3,... and observe the pattern.

Q: (b) Let A and Bị be independent; similarly, let A and B2 be independent. Show that in this case, A…

A:

Q: efine the binary operator @ by:      aa@b=2bb=2b and □□ by:      a□b=a2+b2a□b=a2+b2

A: Introduction: A operation could be an operation f (x, y) that's applied to 2 members of constant set…

Q: Let 1 2 3 1 A = | 6 -2 3 and I3 =| 0 1 5 4 1 If 2. is a real number, compute 2I3 – A.

A: A = 1236-23524 I3=100010001

Q: Perform the operation, if possible. Let et A = [ - 1 5 1] and B= OA. O C. [ 6 - 10 9 5 - 35 - 3 -6…

A:

Q: -1 -2 -3 -4- 1 2 Let A = 1 1-

A: