For any doubt feel free to ask.
Question 3 1 pts Suppose we have the following setup using the Jacobi method ..of TO...
[-230; -1-2 3; 01-21 *X [160 -40 -160]AT Compute vector X using the following methods a) Jacobi method; up to 12 iterations b) Forward Gauss Seidel method; up to 12 iterations c) Symmetric Gauss Seidel method; up to 12 iterations (6 forward and 6 backward iterations) You can use MATLAB to report the final results. However, it is required to calculate at least 3 iterations by hand. You are also expected to compute the spectral radius of the decisive matrix...
1. [12 marks] In the following parts of this question, write a MATLAB code to solve a linear system A b (A is a square nonsingular matrix) using Jacobi and Gauss-Seidel algorithms. Do not use the built-in Matlab functions for solving linear systems (a) Write a Matlab function called Jacobi that consumes a square n x n matrix A, and an n x 1 vector b, and uses the Jacobi technique to solve the system Ax-b, starting with the zero...
Question 4 3 pts [Before you attempt this problem, make sure you have learned about eigenvalues, eigenvectors, and the spectral radius in Section 7.2] Suppose we are given that a 3x3 Matrix A has eigenvalues 0.5, 2.10+16, and 2.10-16 Then the spectral radius of A equals
Question 1 (10 marks) For a linear system Ax b with 1 0-1 A-1 2-1 2-13 and b4 18 compute by hand the first four iterations with the Jacobi method, usg0 Hint: for the ease of calculation, keep to rational fractions rather than decimals. (10 marks) Question 2 For the same linear svstem as in Question 1. compute by hand the first three iterations with the Gauss Seidel method, us0 Hint: for the ease of calculation, keep to rational fractions...
Please do question 5 for me. Thanks
Question 1 (10 marks) For a linear system Ax- b with 1 0 -1 A-1 2-1 2 -1 3 b=14 18 and compute by hand the first four iterations with the Jacobi method, using x()0 Hint: for the ease of calculation, keep to rational fractions rather than decimals Question 2 For the same linear system as in Question 1, compute by hand the first three iterations (10 marks) with the Gauss Seidel method,...
QUESTION 6 (2 pts). Exercise 2.3.2 Suppose A є Mn,n(F) and that λ is an eigenvalue of A. Show that, for any choice of vector norm on Fn, we have lAll-A, where |All is the associated matrix norm of A.
QUESTION 6 (2 pts). Exercise 2.3.2 Suppose A є Mn,n(F) and that λ is an eigenvalue of A. Show that, for any choice of vector norm on Fn, we have lAll-A, where |All is the associated matrix norm of A.
Question 1 1 pts We have the following transfer function: H(s) = - 100 (s+10)(8+100) What is the magnitude of the transfer function at s = 3500 Question 2 1 pts What is the value of H(s) at s=j500 in dB. Remember that dB values are calculated as 20*log_10(1H(s)]).
Suppose f(x) is a given continuous function in -1,4] such that f(-1) and f(4) have different signs and consider the bisection method on f(x) using starting interval1,4]. (a) Bound the absolute error for the approximation c3o (Remember, we define co ao +bo)/2) (b) Use bisection method's bound on absolute error to determine which cn are guar- anteed to have absolute errors less than 10-9.
Suppose f(x) is a given continuous function in -1,4] such that f(-1) and f(4) have different...
Question 7 Solve the following system of equations using the Gauss-Seidel iterative method 10.61 - 72 +263 6 -21 + 11.72 -13 +3.04 25 2.11 - 12 + 10.03-24 -11 3x2 - 33 + 844 = 15 starting with x(0) = [0,0,0,0)", and iterating until e = 10-3, where || x() – x(4+1) || ||x(4+1)||
Section II – Suppose we gathered the data below by an unbiased
method. (The data is sorted DOWN the columns.)
Use the data to create a histogram using six (6) classes.
First class should start at 111.
Give the Five-number summary of the data.
Describe the data set. Be specific and note any gaps
and/or outliers. Use the 1.5-IQR test to locate
outliers.
What description of center would be appropriate for the data
set? Explain why?
Draw a box plot....