1. Solve the following problems below: let U = {a, b, c, d, e, f, g, h, k} A = {a, b, c, g} B = {d, e, f, g} C = {a, c, f} D = {f, h, k} 1. Compute (a) A u B (e) (A U B) – C (i) A-C (b) B U C (f) A – B (1) (An B) – C (c) An C (g)U – A 2. Compute

Q: 1. Let A = {a, h, g}, and B = {3,6}. Answer each of the following questions. %3D (а) Ах В (b) В х В

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Q: What is C(4.0)-C(4.1)+C(4.2)-C(4.3)+

A: The given expression is C4,0-C4,1+C4,2-C4,3+C4,4 Use the formula for the combination  Cn,r=n!r!n-r!…

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

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Q: (2 3. Let A = G) and B = (; ). Compute and compare: %3D a. Det(A + B), det(A) + det(B). b. det(3A),3…

A: We have A=2-135 and B=1211 Part(a) Now if we have a matrix M=abcd, then, detM=abcd=ad-bc Therefore,…

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…

Q: Let S = (a, b, c, d, e, f with P(b) = 0.16, P(c) = 0.12, P(d) = 0.29, P(e) = 0.22, and P(f) = 0.11.…

A: Given S = { a, b, c, d , e , f } P( b ) = 0.16P( c ) = 0.12 P( d ) = 0.29 P( e ) = 0.22 P( f ) =…

Q: If A+B=X and A-B=Y then...?

A: System of linear equations,

Q: 1. If l = P+[v]=Q+[w] , how must P, Q, v, and w be related?

A: Given l=P+[v] is a line where [v] is a span of a unit vector v, we can write [v]=cv, c is a scalar…

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: Compute u – 3v, u v and u x w.

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Q: Let u = (3, 1, 2), 1 = (1,0,1), v2 (2, 1, 3), v3 = (4, 2, 6). Find C₁, C2, C3 such that = u = C1v₁ +…

A: In this question, we want to find the values of the cofficients of the given linear combination of…

Q: A = 2 1 2 0 1 -H B = W = w-B Find the following: a- A², AB, det(A) b- If AW=B, find (W) using…

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Q: Let S = {a, b, c, d, e, f} with P(b) = 0.21, P(c) = 0.25, P(d) = 0.2, P(e) = 0.1, and P(f) = 0.11.…

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Q: Let Ai = = [i, i + 1], i = 1, 2, 3, Then A₁ A2 A3 A4 is. a. {1,2,3,4,5} b. (1,5) d. [1,5] ....

A: We have given that Ai=[i,i+1]A1=[1,2]A2=[2,3]A3=[3,4]A4=[4,5]

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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