a) Solve the following system using naive Gaussian elimination with three digits (rounded ）arithmetic and compare the result with the exact solution x1 = 1.00010... and x2 = 0.99989... 10^(-4 *)x1 + x2 = 1 x1 + x2 = 2 b) repeat a）after interchanging the order of two equations

a) Solve the following system using naive Gaussian elimination with three digits (rounded ）arithmetic and compare the result with the exact solution x1 = 1.00010... and x2 = 0.99989... 10^(-4 *)x1 + x2 = 1 x1 + x2 = 2 b) repeat a）after interchanging the order of two equations

C++ for Engineers and Scientists

4th Edition

ISBN:9781133187844

Author:Bronson, Gary J.

Publisher:Bronson, Gary J.

Chapter5: Repetition Statements

Section5.7: Do While Loops

Problem 6E: (Numerical analysis) Here’s a challenging problem for those who know a little calculus. The...

See similar textbooks

Related questions

Q: What is Genetic Programming? Write & explain the executional steps of GP!

Q: You have to create a program in C language in which the user enters the mass M and radius R of a…

A: Code: #include <stdio.h> int main(){ int mass,radius; printf("Enter the mass of circular…

Q: The differences & Similarities between real & artificial ants.

Q: Step 5: Write a function that takes two dictionaries as arguments. The function should determine if…

A: Given: 2 Dictionaries as arguments To Find: whether every key in both dictionaries have same…

Q: Discuss the following i. Insider Attack…

A: An insider threat is a security risk that originates within the company being targeted. It usually…

Q: What is the main function of router?

A: Introduction: Routers are computer networking devices used to transport data packets from one…

Q: Describe how a firewall resembles a data stream that has been divided into packets.

A: According to the question A firewall is a community safety tool that monitors incoming and outgoing…

Q: 4.15 LAB: Find largest number Write a program that repeatedly reads in integers until a negative…

A: C++ INTRODUCTION:- C++ is a programming language that was created in 1979. It was designed to be an…

Q: 4th question i

A: in the following section we have provided the ER diagram for the given information

Q: Given a hard drive with the following characteristics: 1024 B sector 15,000rpm 4 ms average seek…

A: Below is the solution.

Q: Write generic ant algorithm. Describe application of particle Swarm Algorithm

Q: In this assignment,. you will write SQL commands to create a database and add data to them. There…

A: Given tables are Course and Section. Based on the given table values, The attributes of Course…

Q: Fifty students in a class appeared in their final examination. The division column of their mark…

Q: 1-Write a program to read any character from keyboard and display it on screen 2-Write a program to…

A: Python programming language: Python is a computer language renowned for its broad usefulness, which…

Q: In Oracle database, If LNAME and FNAME fields exist in our table, then we can include the following…

A: The above question is solved in step 2 :-

Q: A semiconductor manufacturer produces devices used as central processing units in personal…

A: Solution:

Q: What technological innovations in the fields of software engineering and computing have occurred…

A: Introduction: Software engineering refers to creating computer programs by using engineering…

Q: 3. Write a C program containing a recursive function that will get the whole number quotient result…

A: Given: To write a C program to find quotient of two numbers.

Q: Share your general experience in your PE 206 PATHFITT 2 PH Games journey.

A: The question has been answered in step2

Q: database Define functional dependency with example.

A: Database:- Databases can be used to store, manage, and access any kind of data. They gather data on…

Q: Assign a name to the graphics processing unit.

A: Introduction: A graphics processing unit -GPU is a computer processor specifically designed to…

Q: In a three-tier design, the intermediate layer between the database and the client servers is…

A: The question has been answered in step2

Q: Advantages & limitations of G.A.

Q: 1. Write a Python function called add_daily_temp that is given a (possibly empty) dictionary meant…

A: Explanation 1) Below is program that defines a function add_daily_temp which accept a dictionary…

Q: For the following table for student grades, create a relational data model after normalization using…

A: Here our task is to create the given table in mysql which follows 3 NF. Here as we can observe…

Q: Describe the clocking methodology.

A: Please find the detailed explanation and details in the following steps.

Q: Typically, a BUS consists of multiple communication paths or lines. Each line is capable of…

A: A bus is collection of wires that connects computer components. Buses carries information in form of…

Q: Using PYTHON: Function takes the width as a positive integer and returns the width of the row as a…

A: random in python:- A random number generator is a computational or physical device designed to…

Q: Explain why it is important that software products are developed and delivered quickly ?

A: Software products are the software systems which are delivered to the users along with the…

Q: If a website was to be created to raise awareness and provide support to parents of children…

A: The capacity to engage and communicate is hampered by autism, a developmental disease.A lack of…

Q: Question 1 Full explain this question and text typing work only thanks

A: Given: Dear student we need to explain about the usability of the given webpage.

Q: Explain why it is important that software products are developed and delivered quickly ?

A: According to the question the software quick delivery always have to take one thing in your mind…

Q: is Corda cryptocurrency? explain if not.

A: The question has been answered in step2

Q: Differentiate between manually matching transactions and Advanced Mode transactions in QuickBooks…

A: Introduction: Bank feeds can be set up and managed in a variety of ways. After obtaining your…

Q: How genetic algorithms differ from evolutionary programming and evolutionary strategies?

A: These question answer is as follows

Q: Detail the components of the spheres of security paradigm. The document must have a sufficient…

A: Introduction: Information security is primarily concerned with preventing unauthorized access to…

Q: Sample Output Prime Number Checker Enter an integer to test: 25 25 is a composite number because it…

A: 1) Below is python program that prompt user for an integer, that will be tested to determine if it…

Q: In Oracle database, If we have Iname field in our table then regardless of how the value have been…

A: According to the information given:- We have to choose the correct option to satisfy the statement.

Q: Briefly explain the process you follow to evaluate a website's usability. The usability testing…

A: Usability testing:-The practice of usability testing determines how simple it is for users to…

Q: Write a short note on: Advances in Genetic Algorithms.

A: The question has been answered in step2

Q: OBTAIN THE TRUTH TABLE OF THE FUNCTIONS REQUIRED TO ACTIVATE THE COMMON ANODE 7- SEGMENT DISPLAY…

A: In this question we will answer about 7 segment output.

Q: Question 1. Using the IEEE standard for the 32 bit float register, what is the exact decimal value…

A: Answer: Algorithm 1. Divide a binary number into the fields for the sign, exponent, and mantissa.…

Q: What is Genetic Programming? Write & explain the executional steps of GP!

A: The question has been answered in step2

Q: Please create a short Pac-Man game using gui. Do not use the one on the internet as I am a beginner.…

A: package com.zetcode; import java.awt.BasicStroke; import java.awt.Color; import java.awt.Dimension;…

Q: What do you know about or recently learned about smartphone apps and tracking data? What other…

A: Operating systems acts as a gateway for providing instructions to a machine.

Q: Use MATLAB to generate the Partial Fraction Expansion of the function: 104 (s+5)(s +70) s(s+45) (s…

A: According to the information given:- We have to follow the instructions in order to get the desired…

Q: Q\ Write program in fortran to find the maximum number of (x,y,z)?

A: In this question we need to write a FORTRAN program to find maximum number among x, y and z.

Q: Assume a computer has two network interface cards, NIC1, a Wifi USB, and NIC2, an on-board Ethernet.…

A: The network interface card (NIC) enables computers to interact across a computer network via wired…

Q: Explain what Unix data structures are affected when an open() call is used on a device file. How is…

A: The question is on what Unix data structures are affected when an open() call is used on a device…

Q: The word "API" refers to a programming interface for applications. What does this mean in terms of…

A: API is a representation of hardware components on the software level, which is generated from a…

Question

a) Solve the following system using naive Gaussian elimination with three digits (rounded ）arithmetic and compare the result with the exact solution x1 = 1.00010... and x2 = 0.99989...

10^(-4 *)x1 + x2 = 1

x1 + x2 = 2

b) repeat a）after interchanging the order of two equations

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.

Similar questions

You solve a non-singular system of 1,000 linear equations with 1,000 unknowns. Your code uses the Gauss-Jordan algorithm with partial pivoting using double precision numbers and arithmetics. Why would the 2-norm of the residual of your solution not be zero?
A circle in the XY-coordinate system is specified by the center coordinates (x, y) and radius (r). Read the values for 2 circles- x1, y1, r1 for C1 and x2, y2, r2 for C2. (i) Determine whether the 2 circles intersect. To solve the problem it suffices to check if the distance between the 2 centers is lesser than the sum of radii of the 2 circles. (ii) Find the smallest circle that encloses the two circles and return its center coordinates and radius. programming language - c
20, Solve the equations Ax = b, where
find the general solution to the following differential equation by using VARIATION OF PARAMETER method. y''+4y'+5y=e-2xsecx
Consider the system of linear equations X2 + 2x3 X4 -1 X1 X2 X3 -X1 X2 + X3 + 3.x4 1 - Xị + 2x2 X4 9 Use Matlab to find the LU decomposition of the coefficient matrix A and then solve the resulting triangular system using forward and backward substitutions programs. (You need to provide the codes)
Solve for the determinants of H and Y. Provide necessary solutions numerically and computationally (using a Python program).Use Google collab or Pycharm
Let p=0.54617 and q=0.54601. Use four-digit to express p−q. Find the relative error of the previous part. If α and β are the roots of an equation, illustrate with an example howloss of significance can be avoided if two numbers are very close to each other.
Use the Gauss-Siedel method to approximate the solution of the following system of linear equations. (Hint: you can stop iteration when you get very close results in three decimal places.) 5x1 - 2x2 + 3x3 = -1 %3D -3x1 + 9x2 + x3 = 2 2x1- X2-7x3 = 3
1) Find the 3rd order polynomial that satisfies the data of water for saturation temperature and pressure. By using the predicted polynomial compute the saturation pressure at 65 C. Temp(C) 0 Pre. (kPa) .6108 1.227 2.337 4.241 7.375 12.335 19.92 31.16 47.36 70.11 101.33 10 20 30 40 50 60 70 80 90 100 2) A vapor pressure vs. temperature thermodynamic process has the following data.Write a MATLAB program to calculate the values of constants A and B in following equation. B og( P°) = A- T+ 273.15 Temp (C) | -36.7 | -19.6 -11.5 Pre. (kPa) -2.6 7.6 15.4 26.1 42.2 60.6 80.1 1 5 10 20 40 60 100 200 400 760 3) The experimental velocity of an incompressible fluid in a pipe of radius 1 m is tabulated as below: Second Class \ Lec. 5 47 Computer Programming (II) Dr. Saad Raheem r (m) 0.0 0,1 0,2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 V 1.0 0.99 0.96 0.91| 0.84 0.75 0.64 0.51 0.36 0.19 0.0 Where: r is the distance from the centre of the pipe and u is the velocity of the fluid. Write a MATLAB program to…
Estimate the integral of f(x)=sin(x)/x between 0 and 1 using Simpson's 3/8 rule. Use n=12
Numerical Methods Lecture: The system of nonlinear equations given below x0 =y0=1 Obtain 4 iteration Newton-Raphson solutions starting with the estimated initial values.Discuss the digit precision in the accuracy of the final solutions. x = y+x2-0.5 y = x2-5xy
4:using numpy to solve the system of linear equations as following x,y,z are variables. 3x+6y+7z = 10 2x+y+8y = 11 x+3y+7z = 22