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

Q: 2 and B= 1 0. then Show that if A = 6. -1 2 (A + B)(A + B) # A² + 2AB + B?

A: Given that A=-1201 and B=10-12 We have to show that A+BA+B≠A2+2AB+B2

Q: b) 568 mod 7

A:

Q: Show that A×(BxC) + Bx(CxA) + Cx(AxB) =0.

A: We have to prove that LHS=RHS

Q: verify that A(B + C) = AB + AC

A: Now,

Q: Let a = (-5, 5, 4) and 6 = (-1,-4, 5). (a) a × b x (41,-21,24) x (b) b × ā X = (c) (ã × b) × ã = (d)…

A:

Q: 3 Let x = (9, −9, −4) and y = (-6, 6, -9) be in R³ and a be in R. Then ax + y = ( ,23).

A:

Q: rỉ + 10x1x2 + x = as² + ßt²

A:

Q: Use proof by contradiction to prove that if x + y > 2, then x > 1or y > 1 (or both).

A: The method of contradiction is used to prove a statement or a set of statements. The inverse of the…

Q: Ax(BxC)= B(AC)-C(A.B). Use the identity above to prove that Ax(BxC) + Bx (Cx A) = Cx(B× A).

A: Given, we also use the rule that dot product of two vectors is commutative.That means if  are two…

Q: Find a pair of values (x, y) that serve as a counter-example for the statement that ⌈xy⌉ = ⌈x⌉⌈y⌉…

A: Let, x = 2.1 & y = 2.5

Q: What’s (E∩F)×(F∪G)

A: We are given that E = {1, 2}, F = {2, 3} and G = {3, 4}.Now, E∩F = {2} and F∪G = {2, 3, 4}.

Q: verify that (A + B) + C = A + (B + C)

A: Now,

Q: = 6 ), c= 9) [1 2] A B = 8 3. 1

A:

Q: verify that (A + B)C = AC + BC

A: To verify that (A+B) C = AC + BC.

Q: Express in the terms of i

A: Given,

Q: Verify that (a) A(BC)= (AB)C and that (b) A(B+C) = AB + AC.

A:

Q: Show that (x? + y²)² = (x² – y²)² + (2xy)? for all real numbers x and y.

A: We have to prove algebraically that x2+y22=x2-y22+2xy2 Simplifying both the sides , we get Here ,…

Q: how that Q(√2 + √3) =Q(√2,√3).

A:

Q: Evaluate G r. d.x. (x2+1)(x+1) 0.

A: The following integrals are useful, while evaluating the integral that is provided. ∫dxx =ln x +C…

Q: Evaluate the commutators [Lz, r²] and [Lz, p²] (where, of course, r² x² + y² +z? and p? = p? + p; +…

A: Given To evaluate the commutators Lz,r2 and Lz,p2 where r2=x2+y2+z2 and p2=px2+py2+pz2.

Q: For each of the following linear systems, find all solutions by using the LU Decomposition method.…

A: The given system is                                     x1+2x2+4x3=33x1+8x2+14x3=132x1+6x2+13x3=4

Q: 3x3-5x2+5 Different iate with respect to X. x2+1 (x²+1)2 Different iate with respect to x. x2-1

A:

Q: a+2b 2 Let W = :a,be R}. Show that -4 lies in W. 2a -1

A:

Q: Prove that |A \(BUC) = (A \ B) \ C.

A: We have to prove in explanation section please check it.Explanation:If you have any questions please…