A is a 4 x 4 matrix with three eigenvalues. One eigenspace is one-dimensional, and one of

Question:

A is a 4 x 4 matrix with three eigenvalues. One eigenspace is one-dimensional, and one of the other eigenspaces is two-dimensional. Is it possible that A is not diagonalizable? Justify your answer.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Linear Algebra and Its Applications

ISBN: 978-0321791542

4th edition

Authors: David C. Lay

See More Books

Question Posted: May 02, 2016 12:06 PM

See More Questions

A is a 7 x 7 matrix with three eigenvalues. One eigenspace is two-dimensional, and one of the other eigenspaces is three-dimensional. Is it possible that A is not diagonalizable? Justify your answer.
(a) If I is the 4 4 matrix with every entry 1, show that I - 1/2 J is self-inverse and symmetric. (b) If X is n m and satisfies XTX = lm, show that Im,-2XXT is self-inverse and symmetric.
(a) Prove that for any 2 Ã 2 matrix T there are scalars c0, . . . , c4 that are not all 0 such that the combination c4T4 + c3T3 + c2T2 + c1T + c0I is the zero matrix (where I is the 2 Ã...
Suppose you have a subject property with a 105,000 sq. ft. lot and existing improvements for which you estimate the reproduction cost new to be $2,500,000, physical deterioration to be $400,000,...
Accounting Today reported that 37% of accountants purchase their computer hardware by mail order direct and that 54% purchase their computer software by mail order direct. Suppose that 97% of the...
Karib Corporation purchased a building by signing a $150,000 long-term mortgage with monthly payments of $1,200. The mortgage carries an interest rate of 8 percent. Prepare a monthly payment schedule...
Number of classes: 5 Data set: Strengths (in parts per thousands) of 24 acids Construct a frequency distribution and a frequency histogram for the data set using the indicated number of classes....
Easyuse Tool Co. manufactures an electric motor that it uses in several of its products. Management is considering whether to continue manufacturing the motors or to buy them from an outside source....
Describe the major labor interactions In details: organizing, contract negotiations, and contract administration.
1. As the top managers of their company, what types of issues might Bert and John have to deal with? Be as specific as possible. Which management functions might be most important to them? Why? 2....
A is a 3 x 3 matrix with two eigenvalues. Each eigenspace is one-dimensional. Is A diagonalizable? Why?
Show that if A is both diagonalizable and invertible, then so is A-1.
1. Do you think the military has a right to improve its recruiting through a more elaborate database of their potential "customers"? 2. Do you think the database is an invasion of privacy? 3. How...
Explain the goal of workplace surveillance systems.
What are the qualities youre looking for in an employer? Related to some of the information in this chapter, how could you retrieve information to see if those qualities exist?
______________ refers to the development of a plan that emphasizes goals, initiatives, strategies, and targets utilized to help employees strive for a shared vision and commitment to the core values...
Define leadership.
Take a moment to reflect on your dream job. Have you conducted an electronic search of the organization? What is it about the organization that makes you want to work there?
The following is a list of independent scenarios. Assume that each corporation adopts IFRS. 1. Raja Inc. purchases eight percent of the outstanding shares of Yajoo Inc. 2. Ding Inc. purchases...
From the choice of simple moving average, exponential smoothing, and linear regression analysis, which forecasting technique would you consider the most accurate? Why? please write it in word...
Find the coordinate vector [ x ] B of x relative to the given basis B = {b 1,....., b n }. 2 8 b = []=[] [] [] - 1 b 4, b3 -2 X = 9 4 6
Find the coordinate vector [x] B of x relative to the given basis B = {b 1,....., b n }. b = 4 3 ------- b = 1 b3 = 7 5 X = 3
Either use an appropriate theorem to show that the given set, W, is a vector space, or find a specific example to the contrary. a b C d a-2b = 4c 2a = c + 3d
6. Consider the following algorithm. Give a function with one term and coefficient 1 g(n) such that the running time of this algorithm is (g(n)), and briefly explain. public static int funkySum...
In the diagram, let U = {all objects}, B = {all students who live in Hartford}, = {students majoring in math}, and R = {students taking a course with Professor Antonio} B M 1 2 3 5 + 6 7 8 R In which...
Risk Identification: Disruption Disruption Assessment: Assessment: Risk Risk Probability Risk 1: Cyberwarfare 1 Consequence 5 Risk 2: Natural 1 5 Diaster Risk 3: Supplier 2 2 closure Risk 4:...

A is a 4 x 4 matrix with three eigenvalues. One eigenspace is one-dimensional, and one of

Question:

Step by Step Answer:

Let v 1 be a basis for the onedimensional eigenspace let v 2 a...View the full answer

Linear Algebra and Its Applications

Students also viewed these Linear Algebra questions