PDF-Problems related to eigenvalue equations
Author : marina-yarberry | Published Date : 2014-12-14
Determine which of the following functions are eigenfunctions to the operator dx a ikx b cos kx c d kx e Give the corresponding eigenvalue where appropriate Answer
Presentation Embed Code
Download Presentation
Download Presentation The PPT/PDF document "Problems related to eigenvalue equations" is the property of its rightful owner. Permission is granted to download and print the materials on this website for personal, non-commercial use only, and to display it on your personal computer provided you do not modify the materials and that you retain all copyright notices contained in the materials. By downloading content from our website, you accept the terms of this agreement.
Problems related to eigenvalue equations: Transcript
Determine which of the following functions are eigenfunctions to the operator dx a ikx b cos kx c d kx e Give the corresponding eigenvalue where appropriate Answer In each case form If the result is where is a constant then is a. e Ax where is vector is a linear function of ie By where is then is a linear function of and By BA so matrix multiplication corresponds to composition of linear functions ie linear functions of linear functions of some variables Linear Equations A Proposed . Numerical Standardization. January 13, 2015 NIST Presentation Part 1 of 2. Joseph E. Johnson, PhD. Physics Department, University of South Carolina . jjohnson@sc.edu. . 1. Ax = lx. Eigenvalue 0 If the eigenvalue l with eigenvalue 1 1 and another eigenvector x = 1 with eigenvalue 1. These eigenvectors span the space. They are perpendicular because B = B T (as we BY. YAN RU LIN. SCOTT HENDERSON. NIRUPAMA GOPALASWAMI. GROUP 4. 11.1 EIGENVALUES & EIGENVECTORS. Definition. An . eigenvector. of a . n . x . n. matrix . A. is a nonzero vector . x. such that . Chiao. . Tung University. Department . of Applied . Mathematics College . of Science . Palindromic . Quadratization. and Structure-Preserving Algorithm for Palindromic Matrix Polynomials. Wei-. Shuo. Eigenvalue problem . (. Examples in notes page). : Eigenvalue. : Eigenvector. How to solve? . [. X,Lambda. ]=. eig. (A) in . Matlab. {. x. } = {. 0. } is a solution (. trivial. solution). In order to have non-trivial solution, the determinant must be zero.. Hung-yi Lee. Chapter 5. In chapter 4, we already know how to consider a function from different aspects (coordinate system). Learn how to find a “good” coordinate system for a function. Scope. : Chapter 5.1 – 5.4. By graphing. Definition. A system of linear equations, aka linear system, consists of two or more linear equations with the same variables.. x + 2y = 7. 3x – 2y = 5. The solution. The solution of a system of linear equations is the ordered pair that satisfies each equation in the system. . Zuzana. . Kukelova. , Martin . Bujnak. , Tomas . Pajdla. TexPoint fonts used in EMF. . Read the TexPoint manual before you delete this box.: . A. A. A. A. A. A. A. A. A. A. Motivation. Recognition & Tracking. Review. If . . (. is a vector, . is a scalar). . is an eigenvector of A . . is an eigenvalue of A that corresponds to . . Eigenvectors corresponding to . are . nonzero. solution . of . (. A. . Syllabus. Winter 2018. Instructor and Textbook. Instructor: Roxin Zhang. Class: MWF 12:00 – 12:50 pm, . Jamrich. 3315. Office Hours: MWRT 11-11:50 am, . Jamrich. 2208. Text: A First Course in Differential Equations, 11th . What we will learn. Solve linear equations using addition and subtraction. Solve linear equations using multiplication and division. Use linear equations to solve real-life problems. Needed Vocab. Equation:. Mike . Barile. . Professors . Hari. . Koirala. & . Jeanelle. Day. Eastern Connecticut State University . EDU 560. Unit Topic. Solving One Variable Equations. Focus. Evaluating Expressions, Solving and Generating Word Problems . Suman . Baral. . a,c. , Travis Whyte . a,*. , Walter Wilcox. a. and Ronald . Morgan. b. a. Department. of Physics, Baylor University, Waco, TX 76798-7316, United States. b. Department. of Mathematics, Baylor University, Waco TX 76798-7316, United States.
Download Document
Here is the link to download the presentation.
"Problems related to eigenvalue equations"The content belongs to its owner. You may download and print it for personal use, without modification, and keep all copyright notices. By downloading, you agree to these terms.
Related Documents