(a) Show that u is an eigenvector of Q. What is the corresponding eigenvalue? (b) Let z...
Question:
(b) Let z be a nonzero vector in Rn that is orthogonal to u. Show that z is an eigenvector of Q belonging to the eigenvalue λ = 1.
(c) Show that the eigenvalue λ = I must have multiplicity n - 1. What is the value of det(Q)?
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 70% (10 reviews)
a Qu I 2uu T u u 2 u T u u u The eigenvalue is 1 b Qz I 2uu ...View the full answer
Answered By
JAPHETH KOGEI
Hi there. I'm here to assist you to score the highest marks on your assignments and homework. My areas of specialisation are:
Auditing, Financial Accounting, Macroeconomics, Monetary-economics, Business-administration, Advanced-accounting, Corporate Finance, Professional-accounting-ethics, Corporate governance, Financial-risk-analysis, Financial-budgeting, Corporate-social-responsibility, Statistics, Business management, logic, Critical thinking,
So, I look forward to helping you solve your academic problem.
I enjoy teaching and tutoring university and high school students. During my free time, I also read books on motivation, leadership, comedy, emotional intelligence, critical thinking, nature, human nature, innovation, persuasion, performance, negotiations, goals, power, time management, wealth, debates, sales, and finance. Additionally, I am a panellist on an FM radio program on Sunday mornings where we discuss current affairs.
I travel three times a year either to the USA, Europe and around Africa.
As a university student in the USA, I enjoyed interacting with people from different cultures and ethnic groups. Together with friends, we travelled widely in the USA and in Europe (UK, France, Denmark, Germany, Turkey, etc).
So, I look forward to tutoring you. I believe that it will be exciting to meet them.
3.00+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Linear Algebra questions
-
Let A be a square matrix. (a) Suppose that the homogeneous system Ax = 0 has a nontrivial solution x = u. Show that u is an eigenvector of A? (b) Suppose that 0 is an eigenvalue of A and v is an...
-
In Exercises 1-6, show that v is an eigenvector of A and find the corresponding eigenvalue. 1. 2. 3. 4. 5. 30 2 3 1 2 2 2 1 211 301
-
If v is an eigenvector of A with corresponding eigenvalue and c is a scalar, show that v is an eigenvector of A - cI with corresponding eigenvalue - c.
-
Determine the force in members HI, FI, and EF of the truss, and state if the members are in tension orcompression. 3 m D. -2 m--2 m2 m--2 m--2 m--2 m- 4 kN 5 KN 6 kN 8 kN
-
1. How has The Body Shop continued to address the four components of corporate social responsibility? 2. What is your assessment of The Body Shops response to Jon Entines Business Ethics article? Has...
-
Family Supermarkets (FS) found that its ABC analysis (see p. 170) provided important insights. FS extends the analysis to cover three more product lines: baked goods, milk and fruit juice, and frozen...
-
What are the advantages of gear drive over other drives?
-
Kimble, Sykes, and Gerard open an accounting practice on January 1, 2019, in Chicago, Illinois, to be operated as a partnership. Kimble and Sykes will serve as the senior partners because of their...
-
(20 points) For each of the histories below, state whether it is (a) sequentially consistent, (b) linearizable. Justify your answer. All variables are initially zero. Concurrent History H1 P1 [...
-
Refer to the data given in Case 5.44. Complete the same requirements, assuming that Home and Garden Products Ltd uses weighted average process costing. In calculating unit costs, round your answer to...
-
Let x and y distinct vectors in Rn with ||x||2 = ||y||2.Define Show that (a) ||x-y||22 = 2(x-y)Tx (b) Qx = y (x-y) and Q=1-2uuT x yllz
-
Let R be an n n plane rotation. What is the value of det(R)? Show that R is not an elementary orthogonal matrix.
-
Describe the information provided in Item 7 of the 10-K.
-
The landlord brought an action against the defendant, Su-Chen Wu Yang , as guarantor on a commercial lease. The defendant, as the director and shareholder of the tenant corporation, admitted she had...
-
14. A cylindrical rod of copper is 3.21 inches long and has a diameter of 3.2 in. What is the mass in ounces? The density of copper is 8.93 g/cm. [Hint: Find volume of cylinder first!] 5. A...
-
The Madoff Investment Scandal in 2008 cost investors billions and resulted in lost fortunes of many of these investors. Bernie Madoff and one of his sons were prosecuted and sentenced to prison....
-
Create a text file named "file_json.json" and write given JSON data to that file. { 'name': 'Learner 1', 'experience': 'beginner', 'contact [ { 'email' 'xyz@gmail.com', 'from': 'Maharashtra'}],...
-
(b) Consider the walls of a house of area 400 m with a 10 cm gap between the inside wall at 20C and the outside wall at -10C. Assume that the gap is filled with air and take the cross sectional area...
-
What does the account Unrealized Holding Gain (or Loss) on Investment represent? How is this account presented in the financial statements for short-term marketable equity securities?
-
Describe the general ways that the revised Form 990, applicable for tax year 2008 and beyond, is different from previous versions.
-
In Exercise 1-2, use determinants to find out if the matrix is invertible? 1. 2. 2 211 035 510
-
In Exercise 1-2, use determinants to decide if the set of vectors in linearly independent? 1. 2. 702 467 705 746
-
Use Theorem 3 (but not Theorem 4) to show that if two rows of a square matrix A are equal, then det A = 0. The same is true for two columns. Why?
-
Q5 Financial maths Initial investment: E 25,000 Year 1 return: 8,000 Year 2 return: E 15,000 Year 3 return: E Year 4 return: E 10,000 5,000 (i) Enter appropriate formulae in the shaded cells in the...
-
The production manager of Rordan Corporation has submitted the following quarterly production forecast for the upcoming fiscal year: Units to be produced 1st Quarter 10,000 2nd Quarter 7,500 3rd...
-
Annswer the following questions: [10 marks] A. Define two of the main advantages of explicit architecture. B. Compare between (1) Model-View-Controller (MVC), (1) Layered architecture pattern. The...
Study smarter with the SolutionInn App