Prove that (av + bw + dw) = ac||v||2 + (ad + bc)(v. w) + 6d|w||2

Question:

Prove that (av + bw + dw)
= ac||v||2 + (ad + bc)(v. w) + 6d|w||2

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

See More Books

Question Posted: Jun 17, 2016 08:36 AM

See More Questions

Prove that (- a)v = - (ax) in Theorem 3 by first computing (- a)v + av. Then do it using (4) of Theorem 3 and axiom S4.
Prove that Av = 0 for every vector v (with the appropriate number of entries) if and only if A = O is the zero matrix.
Prove that if u is orthogonal to v and w, then u is orthogonal to cv + dw for any scalars c and d.
Investor's Report Objectives: You will conduct financial statement analysis of two comparable companies and provide recommendations about the financial position about each for two investors. Select...
Custom Computers, Inc. assembles custom home computer systems. The heat sinks for the central processing units are bought for $12 each and are ordered in quantities of 1300 units. Annual demand is...
Del Spencer is the owner and founder of Del Spencers Mens Clothing Store. Del Spencers has its own house charge accounts and has found from past experience that 10 percent of its sales are for cash....
Using the method of subregions, derive an equation for the transverse modulus, $E_{2}$, for the RVE, which includes a fiber/matrix interphase region, as shown in Figure 3.27. Matrix Fiber Sed d...
(Bond Theory: Balance Sheet Presentations, Interest Rate, Premium) On January 1, 2011, Nichols Company issued for $1,085,800 its 20-year, 11% bonds that have a maturity value of $1,000,000 and pay...
In June 2022, Robert and Alex Keller decided to examine the prospect of operating a restaurant. The brothers had always dreamed of being entrepreneurs and had an interest in the restaurant industry....
n Client Profile Ms. Fox is a 20-year-old black American who presents to the emergency department with complaints of chest pain and some shortness of breath. Ms. Fox indicates that she has had a...
Prove that the norm on an inner product space satisfies ||cv|| = |c| ||v|| for any scalar c and vector v.
Prove that the second bilinearity formula (3.4) is a consequence of the first and the other two inner product axioms.
Determine the global extreme values of the function on the given domain. f(x, y)= x + xy + 2y, x, y 0, x+yl
Explain briefly the impact of out-of-court settlements on: (i) The development of the law as it relates to auditors liability. (ii) Auditors professional indemnity insurance. (iii) The reputation of...
Entity X holds a trade mark that is well known within consumer circles and has enabled entity X to be a market leader in this area. The trade mark has been held by the entity for nine years. The...
(a) Briefly explain what is meant by: (i) A Transparency Report. (ii) The Audit Firm Governance Code. (b) Identify which audit firms must: (i) Publish a Transparency Report. (ii) Comply with the...
A manufacturer is considering three possible locations for its new factory. The choice depends not only on the operating costs at each location but also on the cost of shipping the product to the...
How can the practise of cybernetics transform the pursuit of total quality management?
Ely Corporation, a custom furniture manufacturer, has a general ledger account balance of $73,395 for Merchandise Inventory as of July 1. On the following June 30, the end of the fiscal period, Ely...
Which of the following raises the credibility of areport? Which of the following raises the credibility of a report? Multiple Choice avoiding predictions avoiding the use of cause-effect statements...
Let A be an m x n matrix of rank n and let be Rm. If Q and R are the matrices derived from applying the Gram-Schmidt process to the column vectors of A and p = c1q1 + c2q2 + --- + cnqn is the...
Let U be an m-dimensional subspace of Rn and let V be a k-dimensional subspace of U, where 0 < k < m. (a) Show that any orthonormal basis (v1, v2,...,vk} for V can be expanded to form an orthonormal...
Let U and V be subspaces or Rn. In the case that U V = {0} we have the following dimension relation dim (U + V) = dim U + dim V (See Exercise 18 in Section 4 of Chapter 3.) Make use of the result...
There are 42 locations throughout the northeast region with deposits totaling $3.2bil. If you were Kiamarie's vice president, how would you expect her to choose between Gagne's Nine Events of...
Why is succession planning essential in an organization? 2. What is the need for succession planning? 3. What do you think are the challenges to succession planning? 4. How can employees contribute...
Two activities/obligations/responsibilities that might be added to an updated version of the job description for an HR professional: How would you go about monitoring changes in laws and regulatory...

Prove that (av + bw + dw) = ac||v||2 + (ad + bc)(v. w) + 6d|w||2

Question:

Step by Step Answer:

By bilinearity and symmetry a...View the full answer

Applied Linear Algebra

Students also viewed these Linear Algebra questions