Let W be a subspace of R n and v a vector in R n . Suppose
Question:
Let W be a subspace of Rn and v a vector in Rn. Suppose that w and w′ are orthogonal vectors with w in W and that v = w + w′. Is it necessarily true that w′ is in W⊥? Either prove that it is true or find a counterexample.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 85% (7 reviews)
Orthogonality to w in sub...View the full answer
Answered By
Mwangi Clement
I am a tried and tested custom essay writer with over five years of excellent essay writing. In my years as a custom essay writer, I have completed more than 2,000 custom essays in a diverse set of subjects. When you order essays from me, you are working with one of the best paper writers on the web. One of the most common questions I get from customers is: “can you write my essay?” Upon hearing that request, my goal is to provide the best essays and overall essay help available on the web. I have worked on papers in subjects such as Nursing and Healthcare, English Literature, Sociology, Philosophy, Psychology, Education, Religious Studies, Business, Biological Sciences, Communications and Media, Physical Sciences, Marketing and many others. In these fields, my specialties lie in crafting professional standard custom writings. These include, but are not limited to: research papers, coursework, assignments, term papers, capstone papers, reviews, summaries, critiques, proofreading and editing, and any other college essays.
My extensive custom writings experience has equipped me with a set of skills, research abilities and a broad knowledge base that allows me to navigate diverse paper requirements while keeping my promise of quality. Furthermore, I have also garnered excellent mastery of paper formatting, grammar, and other relevant elements. When a customer asks me to write their essay, I will do my best to provide the best essay writing service possible. I have satisfactorily offered my essay writing services for High School, Diploma, Bachelors, Masters and Ph.D. clients.
I believe quality, affordability, flexibility, and punctuality are the principal reasons as to why I have risen among the best writers on this platform. I deliver 100% original papers that pass all plagiarism check tests (Turnitin, Copyscape, etc.). My rates for all papers are relatively affordable to ensure my clients get quality essay writing services at reasonable prices.
4.50+
5+ Reviews
14+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
We can ask about the algebra of the '+' operation. (a) Is it commutative, is W1 +W2 = W2 +W1? (b) Is it associative, is (W1 +W2) +W3 = W1 + (W2 +W3)? (c) Let W be a subspace of some vector space....
-
Let U and W be subspaces of Rn. Define their intersection U W and their sum U + W as follows: U W={X in Rn | X belongs to both U and W}. U+ W= {X in Rn | X is a sum of a vector in U and a vector in...
-
Let A be an in x n matrix and let V be a subspace of R". (a) Show that W = AV = { A v | v V } forms a subspace of rng A. (b) If dim V = k, show that dim W min{k, r}, where r = rank A.
-
The management accountant is preparing the master budget for her retail firm. The following information has been supplied Sales $300,000 Opening inventory $40,000 Closing inventory $60,000 Required...
-
Despite its reaffirmed monopoly position, Polaroid went bankrupt in 2001 and stopped making instant development cameras in 2007. What happened?
-
Hedging a Forecasted Transaction On September I, 2013, Morton Industries, a calendar-year company, decided to purchase merchandise from a supplier in Jordan for 1,000,000 dinar at the end of January,...
-
Using the gasoline mileage data in Table B. 3 find the eigenvectors associated with the smallest eigenvalues of \(\mathbf{X}^{\prime} \mathbf{X}\). Interpret the elements of these vectors. What can...
-
The Legal Environment Dimension Why is an award of punitive damages is almost completely at the discretion of a jury and trial judge? The Ethical Dimension The court awarded $50,000 in punitive...
-
Strategic plans cannot always predict the future in times of uncertainty. Healthcare managers must take the time to reassess during these times to make improvements to guide future processes and...
-
Oldhat Financial starts its first day of operations with $9 million in capital. A total of $130 million in checkable deposits is received. The bank makes a $25 million commercial loan and another $50...
-
Prove Theorem 5.9(d). d. If W = span(w 1 , . . . , w k ), then v is in W if and only if v w i = 0 for all i 1, . . . , k.
-
Let W be a subspace of R n , and let x be a vector in R n . Prove that x is in W if and only if proj W (x) = x.
-
How can marketers utilize digital media to improve business?
-
Using the production possibility frontier and social indifference curve that represents social preferences, explain how trade can lead to greater social welfare. Use equations and graphs to explain....
-
A circular concrete pipe must be sized to carry water from a reservoir of constant elevation to a fruit processing plant that is 500 m away. The water level in the reservoir is 35 meters and gravity...
-
What marketing strategy does Cann the company the produces cannabis infused beverages use? Explain
-
From the article above: Marketing Has Lost The Thread. Here's How We Get It Back...
-
Complete the following table based on these events. Calculate the ownership percentages and entrepreneur values during various funding stages. What were the payout values a. Three entrepreneurs, E1...
-
Kerry Company has 1,000 shares of $100 par value, 9% preferred stock and 10,000 shares of $10 par value common stock outstanding. The preferred stock is cumulative and nonparticipating. Dividends...
-
A Alkynes can be made by dehydrohalogenation of vinylic halides in a reaction that is essentially an E2 process. In studying the stereochemistry of this elimination, it was found that...
-
How many participants should be enrolled in each group in a future study, if (a) The true mean difference in age at menarche between girls with low- and high-childhood- SES is 0.5 year, (b) Standard...
-
Do boys with better glycemic control have different growth patterns in weight than boys with poorer glycemic control?
-
What is the standard deviation of adult height for the women in the first quartile group (group Q1)? Pediatrics A study was conducted to assess the association between climate conditions in infancy...
-
What are some of the best ways for attaining skills in active listening?
-
. Do you agree with the following statement: "English is a powerful tool that has become entrenched in business processes worldwide-whether for analyzing stocks or issuers, budgeting, or organizing...
-
As a roofer business owner describe the importance of effective communication in your current work/role?
Study smarter with the SolutionInn App