A is a 7 x 7 matrix with three eigenvalues. One eigenspace is two-dimensional, and one of

Question:

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.

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) 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...
In this exercise we consider how to generate matrices with specified ranks using MATLAB. (a) In general, if A is an m n matrix with rank r, then r min(m, n). Why? Explain. If the entries of A are...
Let A be a 7 x 5 matrix with rank equal to 4 and let b be a vector in R8. The four fundamental subspaces associated with A are R(A), N(AT), R(AT), and N(A). (a) What is the dimension of N(AT) and...
The cost of a can of Coca Cola in 1960 was $0.10. The exponential function that models the cost of a Coca Cola by year is given below, where t is the number of years since 1960. C(t) = 0.10e0.0576t...
According to a survey published by ComPsych Corporation, 54% of all workers read e-mail while they are talking on the phone. Suppose that 20% of those who read e-mail while they are talking on the...
Downey Corporation sold $400,000 of 9 percent, 10-year bonds for face value on September 1, 2011. The issue date of the bonds was May 1, 2011. The companys fiscal year ends on December 31, and this...
Number of classes: 6 Data set: January production (in units) for 21 manufacturing plants of a multinational company Construct a frequency distribution and a frequency histogram for the data set using...
1. What is eBays problem? 2. Which marketing strategy was eBay following: market development or product development? Do you agree with it? 3. What decision-making process should CEO Donahoe utilize...
Using the priinciples of law for Offer and Acceptance. 1. write a case scenario showing a valid offer 2. write a case scenario showing an invitation to treat 3. write a case scenario showing an offer...
Purse Corporation owns 70 percent of Scarf Companys voting shares. On January 1, 20X3, Scarf sold bonds with a par value of $600,000 at 98. Purse purchased $400,000 par value of the bonds; the...
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.
Show that if A is both diagonalizable and invertible, then so is A-1.
Figure shows an uneven arrangement of electrons (e) and protons (p) on a circular arc of radius r = 2.00 cm, with angles 1 = 30.0o, 2 = 50.0o, 3 = 30.0o, and 4 = 20.0o. What are the (a) Magnitude and...
A(n) ______________ is an inventory or evaluation of the communication practices of an organization (also known as a communication audit).
______________ are descriptions of new policies/procedures and changes to those that are already in place.
___________ involves directing the formation of an impression, a perception, or a view that others share of you.
______________ serve as a form of written communication used in business and professional settings to provide feedback to employees about how they are performing on the job.
Discuss the experiences youve had interviewing. How did the interviews go? Were you nervous? What will you strive to do differently in preparation for future interviews?
Graphs for two competitor companies, Tera Inc. and Tulum Inc., are provided below, showing comparisons of the percentage of accounts receivable that are uncollectible by age and by customer segment....
On August 31, 2012, the balances of the accounts appearing in the ledger of Wood Interiors Company, a furniture wholesaler, are as follows:Prepare the August 31, 2012, closing entries for Wood...
Determine which sets are bases for R 3 . Of the sets that are not bases, determine which ones are linearly independent and which ones span R 3 . Justify your answers. -2 [][ 3 0 6 -1 5
Find bases for the null spaces of the matrices given. Refer to the remarks that follow Example 3 in Section 4.2. Data from in Example 3 1 0 -5 1 4 -2 1 6 -2 -2 0 2 -8 19
Find the coordinate vector [ x ] B of x relative to the given basis B = {b 1,....., b n }. b = [-2] = [ 8 ]- x = [8] b X -6
How may price floors and ceilings destroy market equilibrium? How does the shape of the indicator line on the graph show diminishing returns? Monthly rent A Price Ceiling on Rent B $900 $800...
Provide a comprehensive analysis of the regulatory frameworks governing financial institutions, delineating the intricate interplay between prudential supervision, market conduct standards, and...
How does the forum meet organisational objectives? What vocabulary, tone, structure and style suits the audience? How will I: build trust develop positive working relationships ...

A is a 7 x 7 matrix with three eigenvalues. One eigenspace is two-dimensional, and one of

Question:

Step by Step Answer:

Yes if the third eigenspace is only onedimen...View the full answer

Linear Algebra and Its Applications

Students also viewed these Linear Algebra questions