Are They Subspace of Rn? Determine whether or not the subsets of Rn given in Problem 1-2
Question:
Determine whether or not the subsets of Rn given in Problem 1-2 are subspaces. If not, show what required properties they fail to have?
1. Is {(a, b, a - b, a + b) | a, b ( R} a subspace of R4?
2. Is {(a, 0, b, 1, c) | a, b, c, ( R} a subspace of R5?
3. Is {(a, b, a2, b2) | a, b ( R} a subspace of R4?
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 81% (11 reviews)
1 Are They Subspace of R W a b a b a b a b R is a subspac...View the full answer
Answered By
Akshay Agarwal
I am a Post-Graduate with a specialization in Finance. I have been working in the Consulting industry for the past 8 years with a focus on the Corporate and Investment Banking domain. Additionally, I have been involved in supporting student across the globe in their academic assignments and always strive to provide high quality support in a timely manner. My notable achievements in the academic field includes serving more than 10,000 clients across geographies on various courses including Accountancy, Finance, Management among other subjects. I always strive to serve my clients in the best possible way ensuring high quality and well explained solutions, which ensures high grades for the students along-with ensuring complete understanding of the subject matter for them. Further, I also believe in making myself available to the students for any follow-ups and ensures complete support and cooperation throughout the project cycle. My passion in the academic field coupled with my educational qualification and industry experience has proved to be instrumental in my success and has helped me stand out of the rest. Looking forward to have a fruitful experience and a cordial working relationship.
5.00+
179+ Reviews
294+ Question Solved
Related Book For
Differential Equations and Linear Algebra
ISBN: 978-0131860612
2nd edition
Authors: Jerry Farlow, James E. Hall, Jean Marie McDill, Beverly H. West
Question Posted:
Students also viewed these Linear Algebra questions
-
Determine whether or not the periodogram is an unbiased estimate of the PSD.
-
Determine whether or not the matrix is stochastic? 1. 2. 3. 4. 5. 6. .8 .2 -Im elm
-
In each case either show that the statement is true or give an example showing that it is false. Throughout, X, Y, Z, X1, X2,..., Xn denote vectors in Rn. (a) If U is a subspace of Rn and X+Y is in...
-
A health care facility in a metropolitan area is interested in the efficiency of its laboratory turnaround time. Based on data collected over last year, the mean turn around time was found to be 55...
-
Attorney Launde [for defendant]: Sir, you plainly see how [the plaintiff claims] that he had submitted himself to [the defendants] medicines and his care; and after that he can assign no trespass in...
-
Were the leak investigations overseen by Patricia Dunn useful and important? Were they ethical?
-
In an ideal diesel cycle the temperature at the beginning and end of compression are \(57^{\circ} \mathrm{C}\) and \(603^{\circ} \mathrm{C}\) respectively. The temperature at the beginning and end of...
-
At December 31, 2010, the trial balance of Worcester Company contained the following amounts before adjustment. Instructions (a) Based on the information given, which method of accounting for bad...
-
X, a designer, seeks your advice on the following: a) X has worked as a freelance graphic artist for Y Ltd for several years. His artwork for Y Ltd features a cartoon image of a humorous,...
-
Who are the stakeholders in the corporation?
-
Hyperplanes as Subspaces: The subset W of R4 defined by W = {(x, y, z, w) | ax + by + cz + dw = 0}, Where a, b, c and d are real numbers not all zero, is a hyperplane through the origin. Show that W...
-
Differentiable Subspaces: Let D = D( - (, () be the vector space tractions differentiable on the real line. Which of the following subsets of I) are subspaces of D? 1. {f(t) | f' = 0} 2. [f(t) | f' =...
-
Jenny Allen, a General Motors employee, was observed by a GM security guard at a bowling alley near the plant during working hours. Allen's supervisor and the plant labor relations manager then...
-
Data for Hermann Corporation are shown below: Selling price Variable expenses Contribution margin Percent Per Unit of Sales $ 60 39 100% 65 $ 21 35% Fixed expenses are $72,000 per month and the...
-
The following Trial Balance was extracted from the books of Hope Enterprise as at 31 December 2022. Sales Purchases Inventory as at 1 January 2022 Motor vehicles Office equipment Accounts receivable...
-
ps://mybscbryantstratton.edu/webapps/assessment/take/launch.jsp?course_assessment_id=_361377_18course_id=_93... A Question Completion Status: QUESTION 10 8.5 points Compose a statement that correctly...
-
2. Enlist the assistance of at least four volunteers to undertake the role of the members of Team A and Team B. Each team must have at least two members. Discuss with your volunteers the roles they...
-
A chemical company has developed a new lightweight, high-strength plastic. The company is planning to spend $20 million for a manufacturing plant in order to begin full-scale production. As a result,...
-
P 50 corresponds to a. Q2 b. D5 c. IQR d. Midrange
-
On 1 July 2021, Croydon Ltd leased ten excavators for five years from Machines4U Ltd. The excavators are expected to have an economic life of 6 years, after which time they will have an expected...
-
In Problems 914, express w as a linear combination of u and v. u = (5 , 7) , v = (2 , 3) , w = (1 , 1)
-
In Problems 914, express w as a linear combination of u and v. u = (4 , 1) , v = (-2 , -1) , w = (2 , -2)
-
In Problems 914, express w as a linear combination of u and v. u = (7 , 5) , v = (3 , 4) , w = (5 , -2)
-
A 9 Loan amount Annual interest rate Number of years until maturity Annual payment amount B $300,000.00 Date Graded Worksheet 7% 4 On January 1, 2024, a company borrows cash from a local bank by...
-
As we have seen in this course, virtually every generation has felt that the existing threat to its privacy was unprecedented in nature. That said, the sheer capacity to collect metadata which exists...
-
In 1982 the inflation rate hit 16%. Suppose that the average cost of a textbook in 1982 was $20. What was the expected cost in the year 2017 if we project this rate of inflation on the cost? (Assume...
Study smarter with the SolutionInn App