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.

A:

Q: 3. Given the polynomials p1 = t3 – 2t2 + 1, p2 = t2 – 4, p3 = t3 + 2t, p4 = 5t. Does this set of…

A:

Q: Find Im(z) if z(8 + i) = 7+ (384 + 448i)

A:

Q: Find the Cholesky factorization A-[-+-+4] -1 20) A =

A:

Q: Find the smallest integer x for which (x4 + 4x)/(x + 2) is O(xx). 01 02

A:

Q: greatest common divisor(g.c.d)

A:

Q: 2. Find the following expressions by the given methods: A. (3x - 2)1 using Pascal's Triangle В. B.…

A:

Q: A = 2 B = 0 4 Compute the following if defined: (a) 3A – B (b) 2BT +C (c) AB (d) AC

A: # we are entitled to solve three subparts at a time, please resubmit the other parts if you wish to…

Q: Use the factorization A = PDP¹ to compute AK, where k represents an arbitrary positive integer.…

A: Use the factorization A=PDP-1 to compute Ak, where k represents an arbitrary positive integer.…

Q: Show the function f1(x) is primitive recursive. f1(x) returns n if factorial(n) = x but returns 0 if…

A:

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: Use the factorization A = PDP to compute A^, where k represents an arbitrary integer. a 1 0 а о 1…

A: Given :  A = PDP-1  ;  where   A = a02(a-b)b ,  P = 1021,  D = a00b ,   P-1 = 10-21 To find : We…

Q: In real analysis,Prove that if A is countable, then m(A) =0.

A:

Q: Find all integers x + 3 such that x – 3 is divisible by x – 3. |

A: To find all integers such that x^3-3 is divisible by x-3

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: Consider the incomplete PLU factorisation: 00 1] 0-2 5 1 1 0 6 -5 4 2 0 0 3 -2 1 ★ 0 1 00 10 3 -2 1…

A:

Q: (c) Find an element h of S10 such that hog (1 8 10 2 7 3 6 4), = and write it in two-line notation.…

A: (c) In one-line notation, g can be written as        g = (1  6  9  3  10  8  7)(4  5)    Then,…

Q: 5 -1 2 Compute A-613 and (613)A, where A = -3 3 -7 -3 1 1 A-613 = (613)A= -1 -1 2 -3 -3 -7 -3 1 -5

A: A=5-12-33-7-311A-6I3=5-12-33-7-311-6100010001A-6I3=5-12-33-7-311-600060006A-6I3=5-6-12-33-6-7-311-6A…

Q: Q4/A: 65-4 5²-45+16 1- L-1.

A:

Q: 1 Use the factorization A = PDP' to compute A^, wherek represents an arbitrary integer. а 11(b - а)…

A:

Q: Find the QR factorization of A = R = Ex: 1.23 0 -1 -4 -2 0 0 3 1 0 given Q 0 -0.24 -0.97 -0.99 -0.12…

A:

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: (d) (11 × 14" + 1) is a composite integer for every positive integer

A:

Q: Use the factorization A = PDP-1 to compute AK, where k represents an arbitrary positive integer. 35…

A: (.)  Given ,       -815-611=35232001-3   5  2-3 Where , A=-815-611   ,   P=3523  ,  D=2001  &…

Q: Use the factorization A = PDP to compute AK, where k represents an arbitrary positive integer. - 7…

A:

Q: Let A = 3 2 and B = -2 Compute each of the following: (a) A? (b) ВЗ (c) (AB)²

A: To compute the following.

Q: Consider the homogenous polynomial ai + 10r1r2 + x². Find a suitable substitution s = Question 3 azi…

A:

Q: Use the factorization A = PDP - 1 to compute A", where k represents an arbitrary integer. а 11(b -а)…

A: 1st we will derive a formula for Ak and then find its value using that

Q: 1.5 Inx - In(x2 - 1) + 2ln(x + 3)

A: Logarithm simplification

Q: H.W Compute the following products: 7 a. 1/3] -2 31 7 -6 21 ь. [3 -1 4] х| 5 1 -4

A:

Q: n²+3 4 Prove that if n is an odd integer, then √2-2

A:

Q: 65-4 5²-45+16 B 1- L-1.

A:

Q: Q4) Fit a second order polynomial to the following data 5 6 1.2 1.6 4 6.25 i 1 3 4 0 0.4 | 0.8 0…

A:

Q: Given (xi , xi2022 i ) ∀i = 0, ..., n, where x0 = −1, x1 = 0, x2 = 1, x3 = 2, ..., xn = n − 1. Write…

A: Given xi,xi2022∀i=0,1,2,...,n  Where x0=-1, x1=0, x2=1, x3=2,..., xn=n-1

Q: Use the factorization A = PDP' to compute A", where k represents an arbitrary positive integer. -2…

A: