(a) if KerT = 0 e {v1,· · , Vn} {Tv1, · · ,Tvn} is a base of (b) if {u1,·… , Un} are LI, then {u1, · , Un} is LI. is a base V, then ImT. ... ... ...

Q: How can I prove that Z4 is cylic? I know that It has something to do with generators (I think?) and…

A: We have a group Z4. We have to prove that Z4 is cyclic.

Q: الوقت المتبقي:1 ساعة، 04 دقائق. 07 ثانية )ثوان(۔ حالة إكمال الأسئلة: 18 Jlgull find the product AB…

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A: In algebraic topology, two topological spaces are said to be homotopy equivalent if there exists a…

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A: Here we have to find the standard form.

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Q: 2. (i) (1 2 3 4 5) (2 5 4 3 1) and (1 5 3 2 4) Find the product of the permutations: (a, az ... Ax)…

A: NOTE- Since the terms in the last bracket of first part are not clear, so solving just second part…

Q: Min. z = 4x1+3x2 s.t. 5x1 + 3x2 2 15 4x1 + 2x2 < 16 X1 20,x2 2 1

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Q: [5 -2 31 4 B = 2 -3 2] 1 Q1/ If A = 2 1 Find: -1 Lo] а) 42 b) |A| x B in N

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Q: 1 1] 050 by expanding 7. 1. Compute det A, where A = %3D -1 7 2 a. On the first row b. On the third…

A: A=711050-172 a). By expanding along first row, we get…

Q: 10.The inverse of the elements of A = {0,1,2} under a*b = (a+b) modulo 3 are A. 0' = 0, 1' = 1, 2' =…

A: Given : A={0,1,2}    To Find : Inverses of A={0,1,2} under a*b=a+b (modulo 3)

Q: (a) Show that Sn can be generated by transpositions (1,2),(1,3),...,(1,n). (b) Show that Sn can be…

A: “Since you have posted a question with multiple sub-parts, we will provide the solution only to the…

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Q: 1. (a) Express the hexadecimal number AB973 in base 8. Show your working! (b) Let M = {1, {e, m},i,…

A: (a) (AB973)=(2534563)8

Q: Let 7(u,v)-(u, v, u+v), then the second fundamental coefficients are: 2 1+4u+4v² ,M= V1+4u+4v a O 2…

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Q: 4. Convert (101001000)2 from binary to decimal notation and (1984)j10 from decimal to binary…

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Q: Question 3 Determine what rule of replacement was used: ((~A ·B) · (C v D)) V (~ ( ~ A · B) · ~ (C V…

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Q: Consider the following statement -pV (¬(pAq)] Which of the following alternatives is its…

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Q: Question 18 Find - - -3 in terms of x and y &r & 16 کر ارولو

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Q: Let A₁ = {1,2,3,..., i} fori = 1,2,3,... 72 Find Ai i=1 An A1 (0,00)

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Q: 7. Let H = {3,2} and two operations * and *' on H defined as follow: 3 ** 3 2 3 3 3 2 2 2 Is (H, *,…

A: This question is about application of Boolean algebra

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Q: 100 1. Given that P(A) = 1/5, P(B) = 1/3, P(C) = 2/5, P(A/B) = 1/2 and P(BOC) = 0 a. Find P(BIA) C.…

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Q: 2 In L [0,1, determine {1,1, 12, .}

A: Given normed space is L20,1. Let S=1,t,t2,…. Observe that Span1,t,t2,… is set of all polynomials. We…

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A: We prove the given argument by using rules of inference.