Is it true that (A×A)∖(B×B)=(A∖B)×(A∖B) for any two sets A, B? If it is true, prove it. Otherwise, find a counterexample. Note: This question is about sets. The "\" sign is the difference of the 2 sets and (AxA) is the cartesian product of A and B.  Is it true that (A cartesian product A) difference of (B cartesian product B) = (A difference B) cartesian product (A difference B) for any 2 sets A, B? If it is true, prove it. Otherwise, find a counterexample.

Q: Prove: Let a > 0 and b > 0 then either a > 0 and b > 0 or a < 0 and b < 0. where a…

A:

Q: 3. f(x, y) = x² x+y + y²-1 -; (1, 1), (-1, 1).

A:

Q: Solve the Gmoar Equation System, Find 1,X2,X3. X(+Xz-2 X3 =17 X2- X3 =2 C Carcansy ile tardndı

A:

Q: If B has a column of zeros, then so does BA if this product is defined. True O False 4

A: Given B has a column of zeros , then to find BA has a column of zero or not .

Q: The real part of csch(1 + j2) is _____.

A:

Q: Question # 2: For the following matrices, give the geometric description of space spanned by their…

A: The columns spans a plane. For full details see below.

Q: Let a1 = [-2  h], and a2 = [10  -20] The set {a1,a2} will span R3 unless h

A:

Q: [61] Diagonalize B = (by finding P and D) or explain why B isn't diagonalizable.

A:

Q: Which of the following is always true about the Cartesian product of sets A and B? A. (A x B) x C =…

A:

Q: The set {[1 -1 3], [2 3 -2], [3 2 1], [0 0 0]} spans صواب İhi

A:

Q: Does the relation "is less than" for numbers have a reflexive property? a symmetric property? a…

A: Given: The set of numbers, and the relation "is less than" for number. To determine: The given…

Q: In cartesian product, prove that (A-B)XC=(AXC)-(BXC) A,B,C are sets

A:

Q: j) x(x+2)+

A:

Q: Let a and b be integers so that (a, b) = 1. Prove that (a + b, a – b) divides 2.

A:

Q: {(r.0):3<rs4 and so<- Neatly sketch the set of points

A:

Q: For each part, write the set in the form [x | P(x)] (property that describes the elements of the…

A: Explained below

Q: The set of polynomials {1, x² + 3x“, 2x² – 7x4} is a linearly independent set in P4.

A: NOTE: Due to time limit answer of 1 is given here, for other please ask in a different question.…

Q: Let A:= {2} and B:= {2,3,5}. Give the Cartesian product of sets A and B, furthermore the power set P…

A:

Q: True or False: One major assumption for conjoint analysis is that products are bundles of…

A: In this case, we need to identify the given statement is true or not.

Q: explain why the entire real line R is both open and closed.

A: In standard topology, the entire real line (R) is considered both open and closed. Let's break down…

Q: Determine the conjugate of the product of, (3 – 2i) (4 + 3i)

A: solution:-3-2i4+3i=34+3i-2i4+3i=12+9i-8i-6i2putting i2=-1=12+9i-8i-6-12=12+9i-8i+6=18+i

Q: Define the Cartesian product of sets X and Y? How is this Cartesian product denoted?

A:

Q: Prove that A°= A - Ab.

A:

Q: (2b) Let A and B be sets. Prove that A – B is disjoint from A n BC LA O BE

A: The set A∩B is defined as A∩B=x|x∈A and x∈B The set A-B is defined as A-B=x|x∈A and x∉B Two sets are…

Q: The set of all real numbers x for which x24x+2+x>0 is

A:

Q: (AUB) = ACNBC. Show that P(ACNBC) = 1- P(A) - P(B) + P(ANB)

A: P(Ac∩Bc)=1−P(A)−P(B)+P(A∩B)