8Provide MATLAB code to solve, please. Objectives: Set up and solve a boundary value problem using the finite difference method by hand or using Matlab.Solve the following differential equation using the finite difference method. Assume the boundary conditions are y(x=0)-5 and y(x=20)=8.783-24-dx=y+x=0Set up a tri-diagonal matrix to solve this problem, but make sure you have coded this so Ax may be adjusted easily. You will want to use a loop or something equivalent to set up the matrix for large x ranges.Part a) Use the following parameters and name your final solution vector "y".% x rangedeltax = 4;xin 0:deltax:20;Part b) Change your calculations so now Ax= 1. Name this solution vector "y2".Plot both your solutions and compare to the known boundary conditions and the solution you found to the shooting method. To check your results, my plot for part a is shown below.14131211109876564024I6Solution to BVPL8I10X1214161820

Here is a MATLAB code to solve the given boundary value problem using the finite difference…

Answered: Objectives: Set up and solve a boundary…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Which of the following are true about principal components analysis (PCA)? Assume that no two eigenvectorsof the sample covariance matrix have the same eigenvalue. A: Appending a 1 to the end of every sample point doesn’t change the results of performing PCA (except thatthe useful principal component vectors have an extra 0 at the end, and there’s one extra useless component witheigenvalue zero). B: If you use PCA to project d-dimensional points down to j principal coordinates, and then you run PCA againto project those j-dimensional coordinates down to k principal coordinates, with d > j > k, you always get the sameresult as if you had just used PCA to project the d-dimensional points directly down to k principle coordinates. C: If you perform an arbitrary rigid rotation of the sample points as a group in feature space before performingPCA, the principal component directions do not change. D: If you perform an arbitrary rigid rotation of the sample points as a group in…
Please apply all questions in MATLAB Assignment Question 1: Consider the following matrices. A- Find the inverse of A (i.e., A¹), B- Multiply matrix A by its inverse and check on Octave. What do you call the result matrix? C- Find the transpose of matrix A. D- Multiply the scalar 3 by A Consider the matrices B and C below: 2 4 1 -27 0 1 3 B = 25 C= -1 2 1 223 2 1 3) A- Multiply matrix B by C using matrix multiplication. B- Multiply matrix B by C using scalar multiplication. C- Find 3B and 2C. Check on Octave.
Using MatLab: Jacobi Method Input a diagonally dominant matrix (3 by 3), input it's constants matrix (3×1), and lastly input initial values of x1, x2, and x3. Please provide screenshots of the MatLab program script if possible. Note: Introduce each section by elaborating what the section does.
Create an mxn (user-defined) factorial matrix using the Rand () function. Make sure the Rand () function is not repeated. The factorial must be computed in a separate function, The factorial matrices can be seen below: (rand () variable range is 0-100) 41 5! 3! 3!
To develop your idea proposal, work the problems described below. As you complete each part, make sure to show your work and carefully describe how you arrive at your final answer. Any MATLAB code or MATLAB terminal outputs you generate should be included in your idea proposal to support your answers and work. 1. Consider the matrix: 3 × 3: [1 2 31 A = 3 34 [567] Use the svd() function in MATLAB to compute A₁, the rank-1 approximation of A. Clearly state what A₁ is, rounded to 4 decimal places. Also, compute the root mean square error (RMSE) between A and A₁. 2. Use the svd() function in MATLAB to compute A2, the rank-2 approximation of A. Clearly state what A₂ is, rounded to 4 decimal places. Also, compute the root mean square error (RMSE) between A and A₂. Which approximation is better, A₁ or A₂? Explain. 3. For the 3 x 3 matrix A. the singular value decomposition is A = USV' where ʊ = [u₁₂u] Use MATLAB to compute the dot product d₁ = dot(u₁, u₂). Also, use MATLAB to compute the…
I need a workable Solution in Matlab 1- If x=[26 12; 15 6 3; 10 11 1], then a) replace the first row elements of matrix x with its average value. b) reshape this matrix into row vector.
Experiment No. (2) Exercises 1- If x= [1 4; 8 3], find: a) the inverse matrix of x. b) the diagonal of x. c) the sum of each column and the sum of whole matrix x. d) the transpose of x. 2- If x= [2 8 5; 9 7 11, b= [2 4 5] find: a) find the maximum and minimum of x. b) find median value over each row of x. c) add the vector b as a third row to x. 3- If x= [ 2 6 12; 15 6 3; 10 11 1], then a) b) Working with Matrices replace the first row elements of matrix x with its average value. reshape this matrix into row vector. 4- Generate a 4 x 4 Identity matrix. 5- Generate the following row vector b=[5, 10, 15, 20. number of elements in this vector. 95, 100], then find the
Q: Write Matlab program to build a matrix A (m, n) as a follow: Note: you must use FOR statement in your solution. Еx: A= 111 222 333
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I need the answer in MATLAB best wishes... Given a matrix X = magic(5); extract the elements in the second to the last rows, and first, second, fourth, and fifth columns.
is applied. Note that the cross product of 2 vectors is a third vector that is perpendicular to both of the vectors. The formula is: M=rx F where M is the moment, r is the position vector, and F is the Force vector. Consider the figure below: 150 N ? 25m -200 N where there are 2 forces that are applied on the pipe assembly. You will need to calculate the total moment [N-m] acting at the fixed support at A. Note that you will have to different position vectors for each force. Also, the forces must be in vector form. For this part of the lab, you must develop a script that does the following: 1. Require the user to input a position vector, then the corresponding force, until there are no more forces in the system. You can have the user type in 0 to stop the script from asking for more. 2. Utilize the cross command to calculate the cross product 3. Use the fprintf command to out the Moment in cartesian, vector form. Meaning you have to have the unit base vectors i, j, & k and the proper…
(2) The long term steady state vector q is independent of the initial vector. To verify this statement, let's consider the same transition matrix P as in the weather example but use another initial vector of [0.5, 0.5] (the values must sum up to be 1). Follow the power method to approximate q. You may stop at X(7). Compare your answers with the following and select all the correct options. U U U U x(1) X(0) P = [0.7, 0.3] x(1) X(0) P = [0.6, 0.4] X(2) = x(1) p = [0.68, 0.32] X(2) = x(1) p = [0.78, 0.22] x(3) = x(2) p = [0.712, 0.288] X(3) X(2) P [0.812, 0.188] = = = X(4) X(3) P = [0.8248, 0.1752] = X(4)= x(3) P = [0.7248, 0.2752] X(5) X(4) P = [0.82992, 0.17008] X(5) X(4) P = [0.72992, 0.27008] = X(6) X(5) p = [0.831968, 0.168032] = X(6) = X(5) p = [0.7327872, 0.2672128] X(7) = x(6) p = [0.73311488, 0.26688512] X(7) X(6) p = [0.8327872, 0.1672128] =

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