1 Use the factorization A = PDP to compute A*, where k represents an arbitrary integer. a 0 11(b-a) b H: HILI 0 1 0 b 0 1 11 a 0 1 - 11 1

Q: for any integer a, show that gcd(2a+1,9a+4)=1.

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Q: Let A = -7 -7 08 Find - 3A. -3A =

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Q: (a) Compute A2, A3, .•. , A7• (b) What is A2015?why?

A: (a) Compute A2, A3, .•. , A7• (b) What is A2015?why?

Q: Determine which of the polynomials below is (are) irreducibleover Q.

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: 1-7 65-4 52-45+16 2-L-¹ [ 6 25-8 3-2S 95²-16 + 8+65 4 S²+9¹

A: We will use inverse  Laplace transform table  Only one question is allowed to be solved at a time ,…

Q: Let a=⟨−3,−2,2⟩ and b=⟨−4,−2,0⟩ Compute:

A: Given that          a = <-3, -2, 2 >    and    b = <-4, -2, 0> Here we have to compute…

Q: 65-4 5²-45+16 Q4/A: 1- L-1. 2-L¹ [ 25-8 3-2S 952-16 8+6S 45249

A: Since multiple questions have been posted, and the first question has been answered, please post…

Q: 4. which polynomial is accurate x = [2; 2.75; 4]; y = [0.5; 1/2.75; 0.25]] 0.0455 x² 0.1039x² -…

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Q: Find the string that has this generating function: a) (1− x)−3 b) (1+2x)−4 c) 1/(1 −3x)3

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Q: Fit a second order polynomials to the data in the following: X Y 1 4 3 8 4 10 5 12 6 13 7 10 8 9 93…

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Q: Compute A-413 and (413)A, where A = A-413 = 6 - 4 - 3 - 2 4 3 - 6 1 3

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Q: Note: The notation from this problem is from Understanding Cryptography by Paar and Pelzl. Consider…

A: Solution: x4 + x3 + x2 + 1 = 0.x5 + 1.x4 + 1.x3 + 1.x2 + 0.x1 + 1.x0

Q: Perform the indicated operationsSubtract 7a to the 2nd power+8a-15 from the sum of 14a-5 and 7a to…

A: We are required to subtract 7a^2+8a-15 from sum of 14a-5 and 7a^2-8.First of all, we will find the…

Q: Which of the following polynomials is reducible over Q: x3 +2 x4 + 3 x5 + 1 x2 + 3 I thought it…

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