Prove that an upper triangular matrix U is orthogonal if and only if U is a diagonal
Question:
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 61% (13 reviews)
Let U u 1 u 2 u n where the last n j entries of the ...View the full answer
Answered By
Ashington Waweru
I am a lecturer, research writer and also a qualified financial analyst and accountant. I am qualified and articulate in many disciplines including English, Accounting, Finance, Quantitative spreadsheet analysis, Economics, and Statistics. I am an expert with sixteen years of experience in online industry-related work. I have a master's in business administration and a bachelor’s degree in education, accounting, and economics options.
I am a writer and proofreading expert with sixteen years of experience in online writing, proofreading, and text editing. I have vast knowledge and experience in writing techniques and styles such as APA, ASA, MLA, Chicago, Turabian, IEEE, and many others.
I am also an online blogger and research writer with sixteen years of writing and proofreading articles and reports. I have written many scripts and articles for blogs, and I also specialize in search engine
I have sixteen years of experience in Excel data entry, Excel data analysis, R-studio quantitative analysis, SPSS quantitative analysis, research writing, and proofreading articles and reports. I will deliver the highest quality online and offline Excel, R, SPSS, and other spreadsheet solutions within your operational deadlines. I have also compiled many original Excel quantitative and text spreadsheets which solve client’s problems in my research writing career.
I have extensive enterprise resource planning accounting, financial modeling, financial reporting, and company analysis: customer relationship management, enterprise resource planning, financial accounting projects, and corporate finance.
I am articulate in psychology, engineering, nursing, counseling, project management, accounting, finance, quantitative spreadsheet analysis, statistical and economic analysis, among many other industry fields and academic disciplines. I work to solve problems and provide accurate and credible solutions and research reports in all industries in the global economy.
I have taught and conducted masters and Ph.D. thesis research for specialists in Quantitative finance, Financial Accounting, Actuarial science, Macroeconomics, Microeconomics, Risk Management, Managerial Economics, Engineering Economics, Financial economics, Taxation and many other disciplines including water engineering, psychology, e-commerce, mechanical engineering, leadership and many others.
I have developed many courses on online websites like Teachable and Thinkific. I also developed an accounting reporting automation software project for Utafiti sacco located at ILRI Uthiru Kenya when I was working there in year 2001.
I am a mature, self-motivated worker who delivers high-quality, on-time reports which solve client’s problems accurately.
I have written many academic and professional industry research papers and tutored many clients from college to university undergraduate, master's and Ph.D. students, and corporate professionals. I anticipate your hiring me.
I know I will deliver the highest quality work you will find anywhere to award me your project work. Please note that I am looking for a long-term work relationship with you. I look forward to you delivering the best service to you.
3.00+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Linear Algebra questions
-
lnvertibility of Triangular Matrices Show that an upper triangular matrix is invertible if and only if all diagonal elements are nonzero?
-
A complex matrix A is called normal if it commutes with its Hermitian transpose: AA = AAT. (a) Show that every real symmetric matrix is normal. (b) Show that every unitary matrix is normal. (c) Show...
-
Let Pk denote a rotation matrix of the form given in (9.17). a. Show that Pt2 Pt3 differs from an upper triangular matrix only in at most the (2, 1) and (3, 2) positions. b. Assume that Pt2 Pt3 Ptk...
-
Which power plant has high load factor?
-
How can companies satisfy increasing customer expectations?
-
The ratio of successive amplitudes of a viscously damped single-degree-of-freedom system is found to be 18:1. Determine the ratio of successive amplitudes if the amount of damping is (a) doubled, and...
-
True or False. The system mass matrix is always singular unless the boundary conditions are incorporated.
-
Assume that Wal-Mart Stores, Inc. has decided to surface and maintain for 10 years a vacant lot next to one of its stores to serve as a parking lot for customers. Management is considering the...
-
Q1. Research the National quality standards and summarise three quality areas of the NQS that relates to consultation with children and environmental responsibility. Q2. Explain why children should...
-
A box mass 55.0 kg is moving along the x-axis attached to a uniform spring of mass 6.50 kg and force constant 2500 N/m. Calculate the angular frequency of the box by considering effect of mass of the...
-
True or false: (a) A matrix whose columns form an orthogonal basis of Rn is an orthogonal matrix. (b) A matrix whose rows form an orthonormal basis of Rn is an orthogonal matrix. (c) An orthogonal...
-
(a) Show that the elementary row operation matrix corresponding to the interchange of two rows is an improper orthogonal matrix. (b) Are there any other orthogonal elementary matrices?
-
On July 1, 2014, Quincy Company sold a piece of industrial equipment to Tana Company for $200,000. The equipment cost Quincy $80,000 to manufacture. Per the sales agreement, Tana made a 20% down...
-
What is your opinion of the appellate courts decision in the New Hampshire trespassingillegal immigration case?
-
Consider the NetAlbum experiment. What explanation would you propose?
-
What are the advantages of decentralization? Some people argue that more centralization is needed to develop and implement strategy in these dynamic times. Express your opinion, and illustrate it...
-
Think of some transformational new businesses such as Ryanair, Crocs, and Grameen Bank. (a) How was each different from what came before? What was similar? Scale them in terms of 'newness' from truly...
-
Consider the transformational impact of Grameen Bank. What are the implications of this model for more traditional trading firms? What are the implications for those seeking to do business in the...
-
For the following exercises, use the definition for the derivative at a point to find the derivative of the functions. f(x) = 4/3 x 2 x = a, lim xa f(x) - f(a) x - a
-
Using a graphing utility, graph y = cot -1 x.
-
Let f: R2 R be defined as in Problem 1-26. Show that Dxf (0, 0) exists for all x, although f is not even continuous at (0,0).
-
Show that the continuity of D1 f j at a may be eliminated from the hypothesis of Theorem 2-8.
-
a. Let f : R R be defined by F (x) = {x 2 sin 1/x) x 0, 0 x = 0.
-
Consider the seventh excited level of the hydrogen atom. A)What is the energy of this level? B)What is the largest magnitude of the orbital angular momentum? C)What is the largest angle between the...
-
1. How many degrees Celsius does the temperature decrease when there is a 45.8F decrease in temperature? 2. For each 1.00F change in temperature what is the corresponding change in degrees Celsius?...
-
A proton (mass of 1.67 x 10-27 kg) is moving at 1.25 x 106 m/s directly toward a stationary helium nucleus (mass 6.64 x 10-27 kg). After a head-on elastic collision, what is the velocity of the...
Study smarter with the SolutionInn App