6. Let A = {a, {0}}, B= {a, {a}, Ø, {Ø}}, and C={{0}, {a}}. Write out the following. a) AnC= b) AUC = c) B-C = d) P(A) = e) Ax {0} = f) An{0} = %3D g) Cn0 =

Q: U is the set of the numbers on a 6-sided die and B is the set of numbers on a 6-sided die that are…

A: Given If U is the set of the numbers on a 6-sided die and B is the set of numbers on a 6-sided die…

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A: We need to find the remainder when 13 + 23 + 33 + ........ + 10003  is divided by 6. We know that ,…

Q: 5) Construct AD'E'F', the reflection of ADEF across line l. F.

A:

Q: LEnd Ale Loplaee trons form for the follwiner funetion flt)= (1ot)

A:

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A: (a) Find u→+v→ as follows: u→+v→=-1,2,4+-3,5,2          =-1+-3,2+5,4+2          =-4,7,6

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A: Since opposite sides of a parallelogram are equal, therefore

Q: 6. Find UV (dot a) Ū · V = (2, 3, -

A:

Q: show that }I f,lm) Ck-m) 2.

A: For, ∑m=0kf1mf2k-m, substitute k-m=n or m=k-n: ∑m=0kf1mf2k-m=∑k-n=0kf1k-nf2k-k-n…

Q: Suppose the conjugate z is equal to the reciprocal 1/ z. What are all possible z's?

A:

Q: If a = (1, 2, 1) and b cross products. 1. a × b : = 2. b xa = = (12, 15, 1), find the following

A:

Q: 2 1) 3

A:

Q: 10) If 1+ abt = c where a, b, and c are positive, determine the value of t. %3D

A:

Q: 8. Determine the dot product of u = [7,-4.1] and v = [3.-2.2].

A: Dot product is also known as the scalar product.

Q: Find.: if dy æ*y+æz – yz² = 7. - -2y: 2yz-z C. E. None of the others. /Geen van die ander nie. 비 비…

A: Given; x4y+xz-yz2=7

Q: 2] -1 1] a. Find SVD from A 1. A = [4 | b. Find SVD from A invers 2. A = [; : : 8] 1 0 0 0 a. Find…

A:

Q: In the following questions suppose A = {a, b, c}. Mark the statement TRUE or FALSE. {b, c} eP(A)…

A:

Q: Let gt): csc (U) for Oct C! and CSC 2- 13/2- 2 How do I find fogle)

A:

Q: if zi = ayi for i=1,2,...,n, show that z=ay

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Q: A Find a numbel z That satisfies The condubion g af The MUT I dx= 9 4 -4 O -a 0-15

A:

Q: B. Let ul,e)=rMsin(nt). Find Pur tru tUge Orr

A:

Q: If a and b are in R^n, is −a in span{a , b }?

A: Let a,b∈ℝn

Q: 2.5.21. Prove the following set identities. (a) (AnB)° = A°U B© (b) A\(BUC) = (A\ B) N (A\ C)

A: let x∈(A∩B)c ⇒x ∉ A∩B⇒x ∉ A or x∉ B⇒x ∈Ac  or x∈Bc⇒x∈Ac∪Bc⇒(A∩B)c⊆Ac∪Bc    ...(1)let x∈Ac∪Bc⇒x ∈Ac…

Q: S dx 4+e*

A: follow next step

Q: Find the value of y, given the value of x. 11 a) Cari nilai dy dengan nilai x yang diberikan. de de…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: 2 1] Assume A = 1 3 4. [2 2 4 and B = show that (AB)' = B' A' [3 6 4]

A:

Q: 15) Find u x v for u = and v = .

A: Given vectors are, u = -7, 1, 12 = -7 i^ + j^ + 12 k^v = 2, 2, 3 = 2 i^ + 2 j^ + 2 k^

Q: tan-1 3

A: tan-133

Q: 103 Let = 2+j"8 and z, = 4+ j06. Show that a. + =2 = =, +z2 b. 1- 2 = =-2 с. d.

A:

Q: Glven that: -1 3 3. -2 3 -2 5. 4 -1 → rref(A) = -5 4 -3 6. -2 4. 6. 0 0 Rank(A) = Nullity(A) - %3D…

A:

Q: 1. Let U- {[ : b. e Maxa(R) :3 c+d = 0}. d Find its dimension.

A: .

Q: Show that sin , +sin ¤, = 2 cos[;(4, – Þ,)]sin[;(P, +Ð,)]

A:

Q: Consider ỹ,,y2, ÿ,ER³ and that y,+y,+y;=0. For Î=span{ ỹ,,y} and Y=span{ỹ2, y, show that Î=Ỹ.

A: Given  that  y→1, y→2, y→3∈ℝ5 and that                   y→1+ y→2+ y→3=0→. and           Y^=spany→1,…

Q: Suppose that (ax + b) cos x dx = 12. Then the value of a equals: A) 6. B) -6. C) 6n. D) -6T. E) None…

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Q: 3- The result of dot product between A=(2, 3, 1) and B=(-1, 5, 1) is: a) A. B=14 b) A. B=-34 c)…

A: 3.