Suppose n > 3 is an integer. Prove that in Sn every even permutation is a product of cycles of length 3. Hint: (a, b) (b, с) —- (а, b, с) and (a, b)(, д) — (а, b, с)(ъ, с, d).

Q: u= (2, 1, –1) v = (-4, 3a + B, 2) w = (a, 0, 26) Find the values of a and ß such that u is parallel…

A: In this question we will use basic of calculus i.e concept of vector product. We will use the…

Q: 2. Let L1 bg 3D (-1,2, 1,3, 3), сі %3D (3, —4, 0, — 4, 3), сэ %3D Find a basis of Lin L2 and L1+ L2.…

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Q: In a group G the equation axb = c has the unique solution x = Select one: -1 а. cab -1 -1 b. a cb -1…

A: Given -  axb =  c

Q: 7. Find the difference of (3m'n-mn-4m+3) and (4m'n+3mn +2m+6), what is the coefficient of m in the…

A: Difference between two expression

Q: Draw the Venn diagram with the following information: ANBNC={√2, √-1}, (ANB) NC'={2%, 00}),…

A: Here we eight disjoint parts , putting into them we can construct ven diagram

Q: A car traveling along a street needs to pass through 4 intersections with traffic lights. If each…

A: Introduction: It is required to find the probability mass function of pmf of X.

Q: Ба. А (812031350); B = (15 2 7 4 2 4 4 1 ); C = (4 – 22); D = (0 – 14) Hitunglah: a. A' + B' = b.…

A: Given that A=8 1 2 0 3 1 3 5 0, B=1 5 2 7 4 2 4 4 1, C=4 -22, D=0 -14 (a) A'+B' In the matrix A and…

Q: why - ( f ²^(lu² (+)² + 9²³\u{(t) ] ²³ ) d+){ 0 is inner Product?

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Q: a) Find ū - i b) Find w.u 1/2

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Q: Prove that.

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Q: Let u (9, 9, 8) and = (-9, -1, - 8). = Find proj, (u). -

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Q: Let A = {0, 1}, B = {a, b, c}, and C = {d, e}. Find i. AxB ii. Ax C ii. (A x B) U (A x C)

A: As this is a multipart question, according to the Bartleby Answering rule, only first three…

Q: If a(3, 4) – b(2, 4) = (8, 10), determine a and b.

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Q: Given i [2, – 5Jand i = [-7,2] find %3D b. ủ •

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Q: e start at (0,0) and want to reach (6, 8). How many ways can we do this, assuming that we can only…

A: To determine the number of ways we can reach the point (6,8) if we start from (0,0).

Q: Find the difference between the sum of the first 11 terms of {an} and the sum of the first 11 terms…

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Q: Let u == (7,5,-5) and = (−1, −2, 2). Compute the following: u v . . = 2 7(ū. v) = (7) · v = ū. (77)…

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Q: At which of these times (A, B, C, D, E) was runner 1 stopped and runner 2 running? (Select all that…

A: From the graph it can be observed that, At time A the runner 1 had stopped and runner 2 was running,…

Q: A. j2n = (-1)" B. jan+1 = j C. j¯" = (-j)" D. jan-1 = –1

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Q: 9. Assume that the stated inverses exist, prove (A+ B)-1 = A-'(A-1+B-!)-'B-1.

A: Here we prove a equivalent statement.

Q: If possible, Find AB and BA 4 A= (1, B= [3 -5 ]

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

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Q: Suppose E = {a, b, c, d, e, f, g, h, i, j}, %3D A= {a, b, c, d, e, f, g}, B= {b, d, f, i, j}, C =…

A: Given sets are

Q: If zxy2xsin(y)+x determine the following: હિ Verify that Əz 022 022 022 022 xoy ex axdy dyox

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Q: Suppose u=⟨−4,4,−2⟩ and v=⟨4,−2,3⟩. Then u×v=   v×u=

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Q: Expand la In 3 Inx Iny? Inz 2n 3+ 2mx+ 2lmy hz a. 2h3+ 2hx+ 2ny- 2hz In 3+ Inx+ 2hy- nz

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Q: Use with (8'e) (-2,) (7,1)

A: Given query is to find indicated vector operation.

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

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Q: If = C,e=x + C2xe-* + C3x?e¯* + C4e* , then the roots are -1, -1, -1, -1 -1, -1, -1, 1

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Q: a) If Z1 = -3 + 3i and Z2 = 4i. Show that: i) Arg(Z,Z2) + Arg(Z,) + Arg(Z2) ii) Arg (2) = Arg(Z,) –…

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Q: Consider --e +y?). 3+3² Evaluate dxdy

A: We have to find partial derivatives for the given function.

Q: Suppose u = (-3,0,0) and v = (-3,-2,3). Then: u +0= u – T= | 3u= 7u – 30=

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Q: Prove that {4a + 126 : a, b E Z} = {4c: c € Z}.

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Q: Let a + 0. Assume that (5A – 3B) = I with | 1 2 3 A = 0 -4 -7 . Find ) 11 -1 the (2,3) entry of B.…

A: The given matrix is,A=1230-4-7011-1

Q: Determine the, 5 a.) E [3xyi - 10] |=1

A: Sum