[1 0 (i) Decode the cipher text "19, 45, 26, 13, 36, 41" using A->0, B>1, .z->25 and A = 2 1 0 [1 1 1 0. b) [1 0. (ii) Encode "VIT UNIVERSITY" Using 2 1 1 0where A→0,... ., Z→25, blank space 26. 201

Q: 2 Consider the bases B₁ and B₂. 2 -3 -7 4 {{³][])} {₁ 6 -5 B₁ = Find [x]B₂ if [x]B₁ 2 [²]. 6

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Q: 4x-xy factors to x(2x+y)(2x-y) O True O False

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Q: In GF(2), find the inverse of x^3+x+1 modulo x^5+ +x^2+1. Show your complete sölution Oax^3+x…

A: For some finite field  F and fx ,gx∈Fx s.t gx≠0 On applying successive division algorithm:…

Q: U(5) is not isomorphic to U(10) اختر احدى الدجابات True False

A: U(5)=1, 2, 3, 4U(10)=1, 3, 7, 9

Q: @ 1,728.7 in' (B) B 34,9927 in © 195,432.2.7 in D 62,2087 in' (D

A: we have to find the volume of the given sphere.

Q: Let 1 2 A = 3 6 Is A invertible? Explain your answer.

A: To verify is the given matrix A is invertible Or not.

Q: (b) Let A = [3-2 5 2 -4] - -1 0 = (³ ³ ³ ], B = [² 3], and C = [132] 2-3 -1 Compute the following: -…

A: Step 1: Here we are given three matrices A ,B and C Such that:A=[32​−2−3​5−1​] B=[2−1​−43​]…

Q: (a) 4 1 A [-2₁ =[-2__2] = [23] C = [3] B ? 4 -8 (c) -8 6 (b) 0 [1 7

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Q: Find the difference between the sum of the first 11 terms of {an} and the sum of the first 11 terms…

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Q: Verify that det(AB) = det(A) det(B) for the following:

A: Given: The given matrices are A=1-23-231010 and B=1023-25213. First, find the determinant of A and…

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: 9. Assume that the stated inverses exist, prove (A+ B)-1 = A-'(A-1+B-!)-'B-1.

A: Here we prove a equivalent statement.

Q: Prove 1.10De Morgan’s Laws (ii), which states (A ∩ B)^C = A^C ∪ B^C .

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Q: Tuesday In of (xin Exc (clip brow if flt) = √at +1, find "(2). (2 Wednesday

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Q: If In x +In(x-3)=In(6x), then X=

A: The equation is given as ln x+ln x-3=ln 6x

Q: Show that det [1 1 0 0 1 1 0 0 1 0... 0 0 1 ⠀ ... 0000 1000... 00 00 11 0 1 = 1+ (-1)"+¹.

A: As per the question we are given a matrix determinant, whose all diagonal and super-diagonal…

Q: Consider the truth table for the connective '' with two simple declarative statements p and q. Р q T…

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Q: 2) 1(E) y |13y – 5x relate to the baseB, : l16у —7x] 2.) and B, = '

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Q: 2 ľ xe2xdx

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Q: Sove for OC 53x 1 5 +1

A: As per our guidelines we are supposed to answer only one question.Since you have asked multiple…

Q: 1. What is the common difference in the sequence 3/4, 5/8, 1/2, 3/8? 2. (identify) It is a graph…

A: We are entitled to solve only one question at a time. Please submit other questions separately. To…

Q: Replacement Lab-24SU-MAT1 X 1921. Quizzes-24SU-MAT110-N851, X +…

A: - To determine how many gallons need to cover 1682 sq. ft with two coats of paint, first we need to…

Q: Sy²el+2y®dy

A: Consider the indefinite integral ∫y2 e1+2y3 dy to evaluate the above indefinite integral, use the…

Q: 8 5 4. Let A -7 - (a) Compute A¨¹. (b) Use your answer to part a) to solve Ax =

A: (a) To compute the inverse of a 2×2 matrix A= [ac​bd​], we can use the formula:…

Q: 7. Theorem 94 I (9x-25)

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Q: 6 -1 Let A =| 0 -2 and B . Compute (AB)". Show your work. 4 3

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Q: O Question 10 of 12 b=0b 0 (4 3i)(4+31) D 0 (4-3i)(1) (61)(4+31) (61) (1) D (-5)(4+3) D B (-5)(4)…

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Q: Decode the cipher text " 99, 38, 154, 58, 115, 43, 121, 43, 20, 7, 149, 56, 86, 29, 196 , 73, 99,…

A: V↔99 M↔38 Y↔154 G↔58 L↔115 R↔43 R↔121 R↔43

Q: If 1 A = -9 6 1 6. 2 -T and Q(#) = ' Až, then Q(z1, 12, T3) = Enter z1 as x1, 12 as x2, and 13 as…

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Q: A = [14]. -1

A: Here given A=111-1

Q: 1. (а) 52x $* (b) 3' x 32 - 5 2. (a) k* x k? (b) m³ x m 3. (а) у к (-у") (b) -x (-)

A: Given: 1.(a)52×56  (b)33×332.(a)k4×k7   (b)m5×m9   3.(a)y2×(-y10)  (b)(-z3)×(-z4)

Q: (b) If the public key for an RSA cryptosystem is (N, e) = (69,5), find the private key d.

A: We follow the standard techniques use in the RSA algorithm. The detailed typeset solution is…

Q: & 18) Vaing showj that the idently in

A: Using the identity 1+x2n=1+xn1+xn,                . . . (1) we want to show that 2nn=∑k=0nnk2.…

Q: state formally the Heine-Borel Theorem in R^k

A: Let S be a subset of ℝk. Then the Heine-Borel theorem states :

Q: Let 1 -1 8 -3 -5 2 -1 , and B = 1 %3D %3D -2 1 4 -7 Compute A-1, (BT)-1 and B-1A-1. What do you…

A: A=1-1102-1-213, B=8-3-50124-76 Expanding the determinant of A, B along column first…

Q: (i) exp[-(@– 1)²]

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Q: (-8 1 4 (a) If A = 4 4 7 prove that A- = A' where A' is the transpose of A. 1 -8 4

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Q: f(x) lo 2 Зл 5л 8 8. 9- -10 5л X = 8. X = - - 8 8. Preview syntax errc

A: The given curve is a function of tanx. So let say, fx =tanB(x-C) + D…