Let V be an inner product space. If u and v are vectors in V, Show that
Question:
Show that (u, v) = ¼ ||u + v||2 -1/4 ||u-v||2
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 76% (13 reviews)
u v 2 u v 2 u v ...View the full answer
Answered By
Nazrin Ziad
I am a post graduate in Zoology with specialization in Entomology.I also have a Bachelor degree in Education.I posess more than 10 years of teaching as well as tutoring experience.I have done a project on histopathological analysis on alcohol treated liver of Albino Mice.
I can deal with every field under Biology from basic to advanced level.I can also guide you for your project works related to biological subjects other than tutoring.You can also seek my help for cracking competitive exams with biology as one of the subjects.
3.30+
2+ Reviews
10+ Question Solved
Related Book For
Elementary Linear Algebra with Applications
ISBN: 978-0132296540
9th edition
Authors: Bernard Kolman, David Hill
Question Posted:
Students also viewed these Linear Algebra questions
-
Let V be an inner product space. Show that if u and v are orthogonal unit vectors in V, then ||u - v|| = 2.
-
Let V be an inner product space. Show that if w is orthogonal to each of the vectors u1,u2, ... ,ur, then it is orthogonal to every vector in span (u1, u2,..., ur,}.
-
Let V be an inner product space and v V a fixed element. Prove that the set of all vectors w V that are orthogonal to v forms a subspace of V.
-
1. Consider the linear system Ax = b (all integer values) with the notation shown below, 1 -3 -1 -2 - H 5 7 - 2261x11 X2 -4 3 9 16x3 615 LX4- = A X b The element a24 = a has been lost. Assume,...
-
What should be done before a meeting to properly prepare for the meeting? What should be done during a meeting to ensure that the meeting will be effective?
-
As noted, C# has unusually sophisticated support for firstclass subroutines. Among other things, it allows delegates to be instantiated from anonymous nested methods, and gives local variables and...
-
Discuss how you would use information systems to support succession planning.
-
Heels, a shoe manufacturer, is evaluating the costs and benefits of new equipment that would custom fit each pair of athletic shoes. The customer would have his or her foot scanned by digital...
-
S Tiger Trade has the following cash transactions for the period. Accounts Cash received from sale of products to customers Cash received from the Bank for long-term loan Cash paid to purchase...
-
Many students accumulate debt by the time they graduate from college. Shown in the following table is the percentage of graduates with debt and the average amount of debt for these graduates at four...
-
Let V be an inner product space. Prove that if u and v are any vectors in V, then ||u + v||2 = ||u||2 + ||v||2 if and only if (u, v) = 0, that is, if and only if u and v are orthogonal. This result...
-
Let V be an inner product space and u a fixed vector in V. Prove that the set of all vectors in V that are orthogonal to u is a subspace of V.
-
A particle of mass m and charge e moves in the laboratory in crossed, static, uniform, electric and magnetic fields. E is parallel to the x axis; is parallel to the axis. (a) For | E | < | | make...
-
Bob Frank and Mary Monroe are next-door neighbors. Bob's narrow road from the state-maintained highway to his house is approximately 0.2 miles long and runs along the edge of his property. On the...
-
Starbucks's Staffing Strategy Starbucks, the Seattle-based premium coffee company named after the first mate in Herman Melville's Moby Dick, has expanded from just 84 stores in 1990 to over 100 times...
-
On June 1, 2022, Mr. John Johnson, suffered a right knee injury of a serious "meniscus tear" resulting from a slip and fall at his condominium front entrance. He was admitted to Hamilton General...
-
You are a consultant hired to assist Healthy-Prep Meal (HPM) with their interview plan. HPM is a new company that is a local meal provider catering to clients with specific dietary needs or health...
-
Define at least two ethical principles that should be utilized in online dispute resolution between either businesses and customers or between businesses and other businesses. What is the importance...
-
National Retail has two departments, Housewares and Sporting. Indirect expenses for the period follow. The company occupies 4,000 square feet of a rented building. In prior periods, the company...
-
The 2017 financial statements of the U.S. government are available at: https://www.fiscal.treasury.gov/fsreports/rpt/finrep/fr/fr_index.htm Use these to answer the following questions: a. Statement...
-
Suppose f(x) = | x + 3 | - | x - 4 |. Write f(x) without using absolute-value notation if x is in each of the following intervals. (a) (-, - 3) (b) [-3, 4] (c) [4, ]
-
Determine whether the relation is a function. Identify the domain and the range. (a) {(2, 10), (3, 15), (4, 20)} (b) {(3, 1), (5, 1), (7, 1)} (c) {(-7, 3), (-2, 1), (-2, 4), (0, 7)}
-
Given that g1x2 = 3x2 - 2x + 1, find each of the following. (a) g(0) (b) g(-1) (c) g(3) (d) g(-x) (e) g(1 - t)
-
a) Based on the information provided in the table below: i. Describe the impact of the cost behavior on economies of scale, constant returns to scale, and diseconomies of scale in each firm?...
-
Use the following information to answer questions below: Total current assets Total non-current assets Total current liabilities Long-term borrowings Share capital Revenue Gross profit Retained...
-
A Public Information Officer ( PIO ) for a public safety or emergency management agency might expect to spend what portion of his or her time on activities directly related to incident response or...
Study smarter with the SolutionInn App