7.2 O Let a be a iagtiate dieganalinabk invertible nxn matbix such that B-p"AP is the diagonal form of Ă. Preve that x* = PB* p", whre kis a poi tive integer. Du the result abeve to find the in dicated pouer of A. nxn and let's P be an A = AS = 00

Q: Without doing any calculations in Aut(Z105), determine how manyelements of Aut(Z105) have order 6.

A: Given: Automorphism, AutZ105To find: Number of elements of AutZ105 having order 6.

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A:

Q: Q2) Let X, Y be i.i.d with binomial PMF. Find PMF ofU= X+Y and W = X-Y.

A: Dear student, If you find this solution helpful please upvote ? it.

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A:

Q: 1.2 Now consider the following sets: X {(x, y) : x² + y² < 4} (5) %3D Y = {(x, y) : -x +y < -2} (6)…

A: Given: X = x, y : x2 + y2 &lt; 4Y = x, y : -x + y &lt; -2

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A: The problem is solved using the concept of expectation and random variable.

Q: 1. 15x4- 13x²+ a is o(x*) . Hint: Apply theurem I.

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

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A: The matrix A=125235110. We have to find which of the following is true about matrix A.

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A: X is random variable over the interval of 1 to 4. Y is random variable with mean of 2. The…

Q: 5. Let F= [3,2,1] and r= [2,1,–3]. Compute the following: %3D a) Proj „F. b) Orth rF = F – Proj „F.…

A: We know that  ProjrF=r.F∥r∥2r Now, r.F=23+12-31=5 ∥r∥2=r,r        =2,1,-3,2,1,-3        =22+11-3-3…

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A:

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A:

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Q: A MATH 200 HW1 [Sections 9.1-9.5 X Yeshua | Jesus Image Worship | X carch results for 'Consider the…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 7.2 O Let be a nxn and let's invertible nxn mabia sush that B=p"AP is the P be diagana) form of x.…

A:

Q: Coo show that the f(x,y)=X+4xy-3y gdegrad is homogenaow of

A: Concept used: The function is homogeneous of degree n if fkx,ky=knfx,y. Given: fx,y=x3+xy2-3y3…

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A: The given matrix is 1-111

Q: Which formulas are tautologies? Select all that apply. (p-q)-(p¬q) O-(-piq) pvp O-(-p^ (pv q)) → q

A: The given formulas are p→q↔¬p∧¬q, ¬¬p∧q, p∨q and ¬¬p∧p∨q→q. To determine which formulas are…

Q: 1.3.4 Indicate whether each statement is true or false. (a) If P[A] = 2 P[A], then P[A] = 1/2. (b)…

A: (a) False. We have: P[A] = 2 P[AC] implies P[A] = 1/2 and P[AC]=1/4 Also P[A] + P[A^C] = 1 =&gt; 1/2…

Q: 5.) For nzIiecove that teger 1prove 'Dirision Algarithme ncntl) (2ntl16 is an in integer Use the

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A: Solution

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A: Given information: Yellow White 45 21 59 12 48 14 46 17 38 13 47 17