14. Use Gauss-Jordan elimination to solve the following linear system: -3x + 4y = -6 5x - y = 10 O A. (2,0) O B. (2,-5) OC. (-6,2) OD. (2.2)

Q: 2x1 + x2x3 + 2x4 4x1 +5x2-3x3 + 6x4 -2x1 +5x2 - 2x3 +6x4 4x₁ + 11x2 - 4x3 + 8x4 5942 = 5

A: In mathematics, Gaussian elimination is known as a linear contraction algorithm for solving systems…

Q: Q2: 0. 2 Consider the Hamiltonian is H=-1 3 2i -1 (a) Is the state r)= the eigenstate of the…

A: According to the information give:- We have to prove the state is the eigenstate of Hamiltonian and…

Q: converges

A: Given :- In the above given question, the statement is mention in the above given question   Need to…

Q: - Use K-Map to simplify the following Boolean equations, draw circuit diagrams after simplification:…

A: a)

Q: Chinese reaminder theorem

A:

Q: 6- Use Fermat's little theorem to find 9934 mod 31 and 13282 mod 23 Answer one of following (7 or 8)…

A: Fermat's Little Theorem states that if "p" is a prime number and "a" is an integer not divisible by…

Q: 2. y'(t)+6 y(t) = e", y(0) = 2 1 19 4t -61 Ans. y(t) = -e + 10 10

A: According to the information given:- We have to solve the mention equation using Laplace transform.

Q: Q2/apply Gauss Elimination method to solve the equation? x + 4y -z = -5 x+y-6z = -12 3x-y-z=4

A: Find the required answer with calculation given as below :

Q: 9. Solve the following system of equations by Gauss Elimination method (without pivoting): (v) 2x +…

A: 9 Solution: To solve the system of equations by Gaussian elimination, we first need to arrange the…

Q: Given that h(p)=p2−3p+5, Find;h(x-3)

A: Given: h(p)=p2 + 3p + 5 then, by putting p=x-3 h(x-3) = (x-3)2 + 3(x-3) + 5           = x2 + 32…

Q: Simplify the equation to a)sum of product b)product of sum F=(x, y, z)=Σ(0,1,4,5,6);d(2,3,7)

A: We are given a Boolean function and we are going to find out its SOP (sum of product) and…

Q: step solution

A: Given :- A system of linear equation is mention in the above given question   Need to solve the…

Q: x + 2y - 3z = -2 --(1) 3x - y - 2z = 1 -(2) 2x + 3y - 5z = -3 -(3) %3D

A: First, augmented matrix needs to be created, and then solve matrix to make triangle of zeros then…

Q: Solve the system of linear equations using naïve gaussian elimination 2x+3y-z=1 x+y-z=0 5x-y-2z=1…

A: 2x + 3y - z = 1     ---  (i) x + y - z = 0 --- (ii) 5x - y - 2z = 1 ---(iii)   from equation (ii) ..…

Q: F(A,B,C)=A'B'+ABC'

A: De Morgan's Theorem is a fundamental concept in Boolean algebra that provides a way to simplify…

Q: Find f(x) solution 300 2.4771 n (301) using newton backward 304 2.4825 305 2.4843 interpolation 307…

A:

Q: Apply the Gauss-Seidel method to solve the following system of equations iteratively toward a…

A:

Q: (b) T(n)=9T(n/3) + 3n² Solve the following with master theorem

A: The master theorem is utilized in calculating the time complexity of recurrence family members…

Q: For the function f(a,b,c,d)=Em(0,1,3,5, 6,7,8,10,14,15), find all minimum sum-of-products solution,…

A: Consider the function, f(a,b,c,d) = ∑m(0,1,3,5,6,7,8,10,14,15) Step 1: To begin, we must group all…

Q: Convert the following to the other conical form ( a) F (X Υ, )- 1.3,) (b) F (W,X, Y, Z) = II…

A: We have two canonical forms here, first is SOP(Sum-Of-Products) form. In SOP, we have min-terms and…

Q: (a) Fxy2) -Σ (1, 3, 7) (b) F(A, В, С, D) -D П (), 1,2,3,4,6,12)

A: In the theory of computation the term  minterms whose sum defines the Boolean function are those…

Q: (3) -So -20 tan² (x) In (x)² n=90 2/2 Simp.

A: According to our company's policy, we are obliged to answer only the first question incase of…

Q: Simplify the function given using Karnaugh's Map. F(A,B,C,D)=E(1,3,6,7,8,9,12).

A: k-map:A karnaugh's map is a type of truth table. It is a pictorial method used to minimize the…

Q: Q3. Assuming ( |03 ),, =(abcdefg),, a Boolean function F(A,B,C,D) is given by the following truth…

A: Firstly, we convert the number 103 from decimal to binary, fill the table accordingly and do the…

Q: S.O.P F(A , B,C,D,E) = E(0,2,8,10,16, 18 , 24 , 26 , 5 , 13 , 23 , 31 ) , using S.O.P Karnaugh map.

A: Karnaugh map or k-map is used to simplify the Boolean expression and reduce it. It solves the…

Q: Example: Show that ¬(pv(-p^q)). is logically equivalent to P^¬g

A: To Show  ¬ ( p v ( ¬ p ∧ q ) ) is equivalent to ¬ p ^ ¬ q

Q: Q1: (a) Solve: 1- (110.011)2 = (? )10 2- (501= (? )16 3- (912)10=(?)BCD (b)Simplify using K-map…

A: Q1. (A) 1) As there are binary numbers after decimal points, numbers appear to be fractional. For…

Q: Problem 5. 1+x In 1-x What is the Maclaurin's series for In(1-x), and what is the series for

A: Answer: 1

Q: Solve by Gaussian elimination x-4y-2z = 21 2x+y + 2z = 3 3x+2y-z = -2

A: the solution is an given below :

Q: f(x)=2x-e¬x Write the equation using MATLAB

A:

Q: d²x dra dx +18 +40 x = -30, x(0)=1 and x(0)=-1 dt Solve this second order differential equation plot…

A: Here is the matlab code of the above problem. See below steps.

Q: 2. (a) Enter 1s in the Karnaugh map for the Boolean function 8(w,x, y, z) = wxy + xgz + w9z + x9z +…

A:

Q: Consider an Elliptic curve given by y=x²+x+1 mod 23 Also consider a generator point as P (3, 10).…

A:

Q: Use Cramer's rule to solve 3x-4y = 6 5x-3y-1 (х, у) ОА (2 3) О В (-2, -3) оС (3,-2) O D. (3, -2) OE.…

A:

Linear Programming Concepts

Linear programming is a famous mathematical modeling tool for determining the best distribution of scarce resources among competing demands. Machinery, time, personnel, raw materials, money, and space are all resources. It is used to find the most optimal solution to a problem with given constraints. The real-life situations can be formulated using linear programming concepts into a mathematical model. Linear programming problems consist of an objective function and linear equalities subjected to constraints.