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: 4. If u = (-3, 2), v = (-4, –6), find 4u – 7v %3D

A:

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: 9. Let u = : (4, -1), v = (0, 5), and w = (-3, -3). Find the com- ponents of a. u + w c. 2(u - 5w)…

A: We have u=(4,-1)v=(0,5)w=(-3,-3)

Q: 3 Let x = (9, −9, −4) and y = (-6, 6, -9) be in R³ and a be in R. Then ax + y = ( ,23).

A:

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: Let X={a,b,c,d), f = ((a,b),(b,a),(c,c),(d,d)}CX×X, and g= ((a,d),(b,a),(c,b),(d,c)}CX×X. Find gof.…

A: Use the definition of composition of functions to solve this problem as in next step.

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

A:

Q: 10. Find a and ẞ such that c = αa + ẞb, where a = (-3,0,2), b = (0,-1,2), and c = (-6,5,-10).

A:

Q: a +b - la – b| 2 a+b+la-이 1. Prove: where max and min denote respectively the greater and the lesser…

A:

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

A:

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

A:

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

A:

Q: you have to show ur work

A:

Q: Let A = {j, z}, B = {1,5,7}. Each element is expressed as an ordered pair. ВХА3{ }

A:

Q: Evaluate iy ( + + " ). Nin t

A:

Q: If a = (2, -1, 9) and b = (8, 2, 1), find the following.

A:

Q: Prove (1.2), (1.3), and (1.4).  

A: (a) Let x∈A∪B So, ⇔x∈A or x∈B⇔x∈B or x∈A⇔x∈B∪A So, A∪B=B∪A

Q: Compute: (1, 2, 3) ·(-2, 1, 0)

A: