2. U = {1, 2, 3, 4, 5, 6, 7}, A = {1, 2, 3}, B = {2, 4, 6} and C = {1, 4, 7} i. Find the value of A' and B' ii. iii. Prove that, (A\B) U (B\A) U (A n B) = A U B. Find the value of A x (BUC)'

Q: Answer parts a and b. a. n(A U B) = 18, n(AB) = 5, and n(B) = 15, find n(A). b. If n(A) = 14, n(B) =…

A: (a)  given data, (i)   n(A∪B)=18(ii)  n(A∩B)=5(iii)  n(B)=15

Q: If A × B ={(p, q),(p, r), (m, q), (m, r)},     find A and B.

A: A will be the set of the first ordinates  And B is the set of the second ordinates

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Q: given u= and v= find uXv

A: To solve the following problem

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Q: 4. [7.4 & 7.5] If... a = i +3j - 2k, and b=i-3j-k, and c=2i+j-k, then... a) Determine (ā- 2b) b)…

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Q: Let U = { a, b, c, d, e, f, g} X= {a, c, e, g} , Y = { a, b, c }, and Z = {b, c , d, e, f} α1. Find…

A: Since you have given two different questions therefore we will solve the first for you. IF you want…

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Q: 2. (6 marks) Let a, b, c € Z with a 0. Prove that if a X (a + 2b + 3c), then a Xb or a Xc.

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Q: Let U = N, A = {1, 3, 5}, B = {x : x² - 6x + 5 = 0}, and D = {x:x>5}. Find a. D' b. D-A c. P(A)

A: Note:-Since you asked multiple subparts,according to our policy we can solve only first three sub…

Q: If f'(t) = 9t² + e' and f(0) = 4. Compute f(3).

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

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Q: = (-10,6, –4) be in R and a be in R. Then , 36 , Let x ат — ).

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Q: Let D = {-2, -1, 0, 1}. Let E = {0, 1, 2, 3}.

A: Answer

Q: a. Let U = { a, b, c, d, e, f, g} X= {a, c, e, g} , Y = { a, b, c }, and Z = {b, c , d, e, f} a1.…

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Q: 2. Let A = and B = al. Show that det(A + B) = det A + det B if and only if a + d = 0.

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Q: 1. Which of the following statements are true? I. If A and B are independent then A' and B are…

A: 1. III.…

Q: Find a and that solve the vector equation: α + B 9 17

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Q: 2. Let T=

A: Given that, T=22-1-163201 We have to find adjoint T.

Q: c. (18,-11,9,8) d. (18,11,9,-8) 2. x = (-1, -2,-2), u = (0, 1, 4), v = (-1, 1, 2), and w = (3, 1,…

A: since you have posted multiple question in this question which are not interlinked so i have solved…

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Q: If u x = [1, -3,5], thenx =

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Q: 3) Let U={ 1, 2, 3, 4,5}, X= { 1,3,5}, Y= { 1,2,3}, and Z= 3,4,5} a. Find X U YU Z. b. Find X N Y c.…

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Q: 1. Let A = {b,c,d,e} and B = {a,b}. (a) Find AU B. (b) Find A - B. (c) Find P(A) (power set of A).…

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