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Q: 7. Which of the folowing atm to the givee LVP v- vin- (a) W (b) (e) y- (4)

A: Given that y''+y'-2y=0, y(0)=0,y'(0)=2 Take m=ddt,…

Q: Determme the Eigen vahes and len Vectors of-Ase=D ahere A 4 2. -3

A:

Q: 2) Let be H. K be and gooup Subgroups f Relate Gu such That Na(H)=Nq(K). H and 'K.

A: Let G be a group. Let H and K be a subgroups of G such that NG(H)=NG(K) We relate H and K. Let G be…

Q: and xe"y %3D For ay

A: To find out partial derivatives.

Q: 5. If A e U(n) and A e C has length one, show that XA € U(n) .

A: If  A∈∪n and  λ∈ C  has  length one,show that λ A∈∪n.

Q: If the sets A, are independent and P(U, A,)=1 then P[A i.o.] = 1. %3D

A: Let {An}n=1∞ be an infinite event satisfying P(An)<1 for all n, then  P∪n=1∞An = 1 if and only if…

Q: Let A = {1,2,3,4,5} B= {6,7,8,9} Emumerate the yuivalenu classeo induces bg the egrivalene melatin…

A: Given that A=1,2,3,4,5B=6,7,8,9 As the relation is not defined, take the equivalence relation…

Q: 1.8 Let D = (V, E) be a digraph with q edges. Show that E id(v) = od(v) = q. vĒV vEV

A: We know in the graph D, every edge in E accounts to in-degree of some vertex as well as out-degree…