You should test out your script using the following matrices. 2 3 1 2 3 1 C D- 3 2 B- A- -3 8 4 8 2 4 4 1 You may n...
Help with number 1 please! Programming for Math and Science Homework 4 Due by 11:59 p.m. Thursday, May 2, 2019 1. Find the eigenvalues and corresponding eigenvectors for the following matrices sin θ cos θ 0 0 4 Verify each calculation by hand and with Numpy. (For the second matrix, pick a value for 0 when using Numpy.) 2. Construct a 3 by 3 orthogonal matrix1. Determine its eigenvalues and find the eigenvector corresponding to the eigenvalue λ-1 3, Construct...
3. EIGENVALUE AND EIGENVECTOR BASICS Select at most one of the following problems. You may use the rest of this page and the back of this sheet NOTE: No points will be earned if you do not justify your statements. (1) (10 points) A projection operator T is one that satisfies the equation (2) (15 points) Discuss the validity of the following statement. If x and y T2 -T. What are the possible eigenvalues of T? are eigenvectors of a...
Problem #2 (a) Prove that 2.At At At where A E Rnxn (b) If (λί,ui), i-1, 2, . .. , n, are the eigenvalue-eigenvector pairs of A Rnxn, what are the eigenvalues and eigenvectors of e? Prove your answer Problem #2 (a) Prove that 2.At At At where A E Rnxn (b) If (λί,ui), i-1, 2, . .. , n, are the eigenvalue-eigenvector pairs of A Rnxn, what are the eigenvalues and eigenvectors of e? Prove your answer
Find the eigenvalues. Find an eigenvector corresponding to each eigenvalue. Do this first by hand and then use whatever technology you have available to check your results. Remember that any constant multiple of the eigenvector you find will also be an eigenvector. (Order eigenvalues from smallest to largest real part, then by imaginary part.) D = 1 −9 9 −17
2. Use the spectral decomposition (in reverse) to find the matrix A such that (1,-1,1) is an eigenvector with eigenvalue 2, and (2, 3, 1) and (4,-1,5) are eigenvectors with eigenvalue-3. 2. Use the spectral decomposition (in reverse) to find the matrix A such that (1,-1,1) is an eigenvector with eigenvalue 2, and (2, 3, 1) and (4,-1,5) are eigenvectors with eigenvalue-3.
1 2 3. Find all eigenvalues and eigenvectors of the following matrices:R -1 : B= 2 0 1 2 4 2 2 check your answer 1 2 3. Find all eigenvalues and eigenvectors of the following matrices:R -1 : B= 2 0 1 2 4 2 2 check your answer
How do i do this with Python? Create a script to make a receipt for a restaurant purchase. Your script should repeatedly take sales until the user hits a "d" to signal they are done. Your script should report the subtotal, tax, tip and total amount of the sale. Tax is 6%. Tip is based on the sale. For sales under S 15.00, the tip is 10%, for sales between $15 and $50, the tip is 15% and for sales...
Publish using a MatLab function for the following: If a matrix A has dimension n×n and has n linearly independent eigenvectors, it is diagonalizable.This means there exists a matrix P such that P^(−1)AP=D, where D is a diagonal matrix whose diagonal entries are made up of the eigenvalues of A. P is constructed by taking the eigenvectors of A and using them as the columns of P. Your task is to write a program (function) that does the following If...
Question 3 (a) Use the defining equation for eigenvalues and eigenvectors to prove that if matrix A has the unique eigenvalue a, then the matrix A-al has 0 as an eigenvalue (b) Show that if matrix B has the eigenvalue then the matri B has 2 as an eigenvalue. (c) Use the defining equation to show that if the matrix C is invertible, then C cannot have zero as an eigenvalue. (Hint: No eigenvector Xcan be the zero vector. So...
Question 3 (covers Unit 6) - 25 marks . Your answers to part (a) of this question must be shown with your own work . Part (b) and (c) of this question are required you to use Mathcad to compute your solutions. You must submit a copy or attached a copy of your Mathcad solutions to your tutor for marking (a) Consider the following matrix 2 1 -2 A-0 5 0 (i) Find three eigenvalues λ of A. One of...