Find the eigenvalues of A by solving the equation p(x) = 0. (Hint: you should obtain three distinct values.)

INSTRUCTIONS TO CANDIDATES

ANSWER ALL QUESTIONS

Consider the following matrix

210 23

1. Compute the characteristic polynomial of A:

p(x) = det(A - I)

2. Find the eigenvalues of A by solving the equation p(x) = 0. (Hint: you should obtain three distinct values.)

3. For each eigenvalue r you obtained, compute a corresponding eigenvector, by solving

the equation Ay

4. Construct a matrix U having as columns the eigenvectors obtained at point 3. Calculate U-1, the inverse of U.

5. Compute U-1AU and verify that the result is a diagonal matrix, having the eigenvalues of A as its diagonal entries.

Attachments:

Related Questions

. The fundamental operations of create, read, update, and delete (CRUD) in either Python or Java

CS 340 Milestone One Guidelines and Rubric  Overview: For this assignment, you will implement the fundamental operations of create, read, update,

. Develop a program to emulate a purchase transaction at a retail store. This  program will have two classes, a LineItem class and a Transaction class

Retail Transaction Programming Project  Project Requirements:  Develop a program to emulate a purchase transaction at a retail store. This

. The following program contains five errors. Identify the errors and fix them

7COM1028   Secure Systems Programming   Referral Coursework: Secure

. Accepts the following from a user: Item Name Item Quantity Item Price Allows the user to create a file to store the sales receipt contents

Create a GUI program that:Accepts the following from a user:Item NameItem QuantityItem PriceAllows the user to create a file to store the sales receip

. The final project will encompass developing a web service using a software stack and implementing an industry-standard interface. Regardless of whether you choose to pursue application development goals as a pure developer or as a software engineer

CS 340 Final Project Guidelines and Rubric  Overview The final project will encompass developing a web service using a software stack and impleme