1- Ask the user to enter the number of variables on a Linear- System 2- Ask the user to enter matrix elements 3- Ask the user enter vector elements 4- Ask the user to enter initial approximation for the solution 5- Solve the linear-system using Jacobi iteration and show the results and number of iterations needed 6- Solve the linear-system using Gauss-Seidel iteration and show the results and number of iterations needed 7- Show which of the two methods is better

Q: Consider the system of linear equations X2 + 2x3 X4 -1 X1 X2 X3 -X1 X2 + X3 + 3.x4 1 - Xị + 2x2 X4 9…

A: Program: A=[0 1 2 -1;1 1 -1 0; -1 -1 1 3;1 2 0 1] % defining coefficients of matrix and storing in A…

Q: Write computer codes using any programming language for one of the following methods to solve a…

A: Note: The below program has been written in C++ programming language. Gaussian elimination method…

Q: Solve an example system using your Gauss elimination and Gauss-Jordan method. Measure the time your…

A: Given: Solve an example system using your Gauss elimination and Gauss-Jordan method. Measure the…

Q: . Solve the linear system using Gauss Elimination method. x1 -x2 +2x3 –x4 =-8 2x1-2x2 +3x3 -3x4 =-20…

A: matlab code A = [1 -1 2 -1; 2 -2 3 -3; 1 1 1 0; 1 -1 4 3]; B = [-8 -20 -2 4]'; X = [A B]; R =…

Q: A set of linear equations are given as follows: |-14 x -19 y +18 z = 307 +5 x +10 y -2 z = -112 -4 x…

A: 1) Matrix A

Q: Write computer codes using any programming language for one of the following methods to solve a…

A: The below program is written in C++ language using the method Gaussian elimination. The linear…

Q: Write computer codes using any programming language for one of the following methods to solve a…

A: Note : As its said in question to solve equations by any 1 method , I am solving Linear equation…

Q: Write computer codes using any programming language for one of the following methods to solve a…

A: #include<stdio.h> #define N 3 // Number of unknowns int forwardElim(double mat[N][N+1]);…

Q: Solve the simultaneous congruence equations: a = 4 (mod 7) x = 2 (mod 5)

A: Dear Student, x is congruent to 4(mod 7) which is congruent to 4 , but in second case 2(mod 5) , it…

Q: Explain the Wronskian determinant test. Using the Wronskian determinant test, write the program…

A: Hey there, I am writing the required solution based on the above given question. Please do find the…

Q: Make an Algorithm for solving systems of linear algebraic equations using the methods below: 1. LU…

A: Lets discuss the solution in the next steps

Q: Q4) Check if the solution is existing and solves the following equations: 1. 5m+4z-9=0 2. 2y+3x=-3…

A: Code: syms x y z meqn1 = 5*m + 4*z == 9;eqn2 = 3*x + 2*y  == -3;eqn3 = 6*y - 5*m == 4;eqn4 = 2*y -…

Q: Q4) Check if the solution is existing and solves the following equations: 1. 5m+4z-9-0 2. 2y+3x=-3…

A: Below is the following code for you problem

Q: Make an Algorithm for solving systems of linear algebraic equations using the methods below: a)…

A: Lets discuss the algorithm in the next steps

Q: A system of linear, constant coefficient, ordinary differential equations can be written dr/dt = Ax,…

A: Requirements:-

Q: function [x,numIter,omega] = MidtermExam(func,x,maxIter,epsilon) % Solves Ax = b by Gauss-Seidel…

A: The edited code for the above given code is given below:

Q: Make an Algorithm for solving systems of linear algebraic equations using the methods Gauss-Seidel

A: Below i have given algorithm for gauss seidel meathod:

Q: Solving a linear system Find the values of x, y and z for the following equations: 5x = 3y - 2z +10…

A: I have answered this question in step 2.

Q: Make an Algorithm for solving systems of linear algebraic equations using the methods of Cholesky’s…

A: Algorithm for solving systems of linear algebraic equations using the methods of Cholesky’s…

Q: . Make an Algorithm for solving systems of linear algebraic equations using the methods below: –…

A:

Q: Two iterative methods for solving linear systems of algebraic equations, AX = b, are Jacobi and…

A: Iterative Method for solving Ax=b Analysis of Jacobi and Gauss-seidel method: We continue our…

Q: Create two matrices, A and B, then solve the generalized eigenvalue problem for the eigenvalues and…

A: output

Q: Find the value of x from the following equation x=cos(r^2) if r<O x=sin(r^2) if r20 r=-2:20 *

A: Here, we have to iterate for values from -2 to 20 and then we can check the value of r and proceed…

Q: Find the value of x from the following equation * x=cos(r^2) if r<O x=sin(r^2) if r2O r=-2:20 For…

A: Answer is option 1)   for r = -2:20if r&lt;0x = cos(r^2)else x = sin(r^2)end end

Q: Find the value of x from the following equation * x=cos(r^2 ) if r<O x=sin(r^2 ) if r20 r=-2:20 For…

A: Option 1 is the correct option.

Q: Use the Gauss-Siedel method to approximate the solution of the following system of linear equations.…

A: Answer: x1=0.186 x2=0.331 x3=-0.423

Q: 1. Write all the steps to solve the following system of linear equations by Gauss Jordan method 2x +…

A:

Q: Q2/ If a cubic equation is expressed as ax3 + bx? – cx + d = 0 and we let A= 18abce – 4b³d+b?c² –…

A: Lets see the solution.

Q: a. Make an Algorithm for solving systems of linear algebraic equations using the methods below: –…

A: answer of a part

Q: Write computer codes using any programming language for the two-equation Newton-Raphson method and…

A: x2 + y2 = 16 Code: #include&lt;stdio.h&gt;#include&lt;math.h&gt;float f(float x,float y){    return…

Q: 1. Find the basis and dimension of the following system of linear equations: x1 + 2x2 – 2x3 – x4 = 0…

A: 1. Given that find the basis and dimension of the following system of linear equations : x1 + 2x2 -…

Q: 7. Use the matrix condition number to check if this system of linear equations might be an…

A: SOLIUTION 3x1  + x2  -2x3= 9 x1  +4x2  -3x3   = -8 x1  - x2     -4x3= 1 Avg method Matrix AX=B…

Q: The flow of traffic (in vehicles per hour) through a network of streets is shown in the below: x,…

A: In fields including computer science, traffic analysis, electrical engineering, and economics,…

Q: Write cpp which can solve equation using Eular method

A: The following is the required C++ program:-…

Q: Use Secant method to determine a root between x=1 and x = 3, of the simultaneous nonlinear…

A: 1)

Q: Solve the systems of equations by using the matrix inverse method.

A: Required:

Q: kindly solve this for   X = 21 Y=  1 Z=  10  showing all the steps

A: Given data is shown below:

Q: Find the number of solution of e1 + e2 + e3+e4 = 15, where e1, e2,  e3 and e4 are non- negative…

A: given: 3 ≤ e1 ≤ 5, 4 ≤ e2 ≤ 6, 3 ≤ e3 ≤ 7, 3≤e4≤5 e1 + e2 + e3+e4 = 15

Q: 20, Solve the equations Ax = b, where

A: Linear equations in python A python library named Numpy is imported to solve the linear equations in…

Q: OBLEM 6: Determine the highest real root of f(x) = x² – 6x² + 11x – 6.1 using Newton- Raphson Method…

A: Using Newton Rapson Method and secant method we have to solve the following equation in three…

Q: s the worst and best case by modeling with equation

A: Consider the following classes and in particular the "insert" algorithm. import random class Node:…

Q: 3. Use Gauss-Jordan elimination to solve the following linear system. -4x+4y+5z =9 -2x + 2y +z = 3…

A: Given equations: -4x + 4y + 5z = 9 -2x + 2y + 1 = 3 -4x + 5y = 4 We have to solve these using gauss…

Q: Determine the value(s) of x so that the matrix below is the augmented matrix of an inconsistent…

A: Determine the value(s) of x so that the matrix below is the augmented matrixof an inconsistent…

Q: Using the matrices of #8, solve the following: а. ЗА+4F b. АВC/4F c. 2DEF+4B d. FEB/2CD e. (2B -…

A:

Q: Solve the following and show all work i) 34 % 5 ii) 14 + 5 % 2 - 3 iii) 4 % 6

A: 1. 34%5 % operator is used to get the remainder of an integer division.  34%5 = 4 (5*6=30. So…

Q: Use the Master Theorem to solve the recurrence equation. DETAILED steps and proofs are required.…

A: Masters Theorem is given as:

Q: Convert the linear program problem into standard form.   minimize 5x - 6y x  - 2y = 7 -3x + 4y…

A: Standard form of given LPP is :-

Q: Find the solution of the following series x² Y= 2. x24 for x=4 ... 6. 24

A: The problem is based on finding the value of the series using matlab programming language. NOTE: The…

Q: Q4: A / Given a vector v = [0:0.04:1] plot the surface of y' * y matrix when y = sin(v * 2 * )?

A: &gt;&gt; v = [0:0.04:1] &gt;&gt; y = sin(v*2*pi) &gt;&gt; surf(y' * y)

Q: 47. The determinant of a matrix with positive entries must be positive.

A: Determinant of a matrix: A matrix is an array of many numbers. For a square matrix, i.e., a matrix…