s, proof that (A UB)' =_

Q: verify that (AB)C = A(BC)

A: Given matrices:

Q: what happened to the 1(1-lambda) part in the first line

A: Given

Q: Determine whether each statement is true or false   (a) A ∩ A'= φ (b) If A ⊆ B, then A ∩ B = B.…

A: Explanation of the solution is given below...

Q: .5 Jan 20, 2 Edit -22 -22 -2A -22 20 -20 7 1 40 25 22 True O False 3. 41

A:

Q: Use direct prove to prove that for any two positive numbers x and y, x+y Vxy s 2

A:

Q: Prove that if gcd (a,b)=1>then gcd (ab,ab)=l

A: I have proved using the fact that gcd can be expressed as integers linear combination q

Q: Then where a11= where bu by2 = where Cu = a12=== b12 || b33== C12= 0 1 +-6²9) -- (9) A = B= 3 -3 5…

A:

Q: 8. [ tan’rd.r

A: We have to find the integration of given questions.

Q: Show hat + £ +} + - - +$ is out entges

A: Given The given statement is that 1+12+13+· · ·+1n is not an integer.

Q: find the'mters ection d Exe sy,z]= [a,0,31++ 4,-2,178 [+sy,z]=[6,-12,--11]+5 [1,2,4]?

A:

Q: Suppose X~ Unif (a, b). Show Vark) = (b-a) ² 12

A: Solution-: Given: X→U(a,b) We want to show Var(X)=(b-a)212

Q: Let G = (a, b | a² = b² = (ab)?). a. Express b²abab³ in the form b'a'. b. Express b'abab³a in the…

A: Given: The expression is G=a,b|a2=b2=(ab)2. To Express: (a) The expression b2abab3 in the form of…

Q: Let f and g be permutations. Show that the order of h=fgf^−1 is the same as the order of g.

A:

Q: J Prove that if m* (A) = 0, then m*(AUB) =m* (B).

A:

Q: Haw it Veszy, 22,4x+77 ?,X? y?, ye> find (curt w)-v at (4,0,2) W=<3Z

A:

Q: B) Show that coth-x = In ()

A:

Q: A2,..., An are normally and independently Y₁, Y2, ..., Yn are also normally and independently…

A: X1,X2,...,XN are normally and independently distributed with mean μ and variance σ2Y1,Y2,...,YN are…

Q: [2(c056'+isin6")ゴー sin6")ゴー %3D

A: Given:2cos 50+sin 506

Q: 3. prove that: det (AB) = det (A) det (B) a - (; ), » - ( ) 2 -1 7 2 B = 2 в 3 %3D

A:

Q: composition f ho 17) write ho) functions %3D as

A: Basics  Composition of a function : Let f(x) and g(y) are two functions, the output of one function…

Q: () - (" ;')-(,".) Show that: n+1

A:

Q: Let u (41, U2, Uz). Explain why u•u > 0. When is u•u 0?

A:

Q: A ∩ B' = (A' ∪ B)' True or False

A: Demorgan theorem:

Q: Ifa' = (-5,1,2) and b' (-1,–2,4)and, find a – 3b.

A:

Q: In (z z2) =

A: I have provided this answer in step-2.

Q: show that the Squa giver by IN A+ 4

A:

Q: 28. Evaluate : a) A (3e) b) Aʼ(ab)

A:

Q: Queshon 6) Compute the arthogonal projection of 8 onto the Line L through -S] and the origin. -6 LS.

A: We have to find the orthogonal projection of v on the line through P and the origin.

Q: 4x-3=8 identifying terms of 'x)' c) Vanable d) operotor a) coefficient b) constan

A:

Q: Assume a1,a2,...,an are positive numbers, a1+a2+...+an=1. Prove: Please use non-calculus method)

A:

Q: 1- 9/if it of Prove that yś(-)- TT

A: In the question it is asked to prove y'(0)=π for the given function y=2xcos-1(2x)-1-4x2.

Q: · (b + c) = a · = a · b + a · e for all a, b, c € R³. . 7. Prove that a.

A:

Q: (-8 1 4 (a) If A = 4 4 7 prove that A- = A' where A' is the transpose of A. 1 -8 4

A:

Q: [о, 1] x [1, 2]

A: