Explain why an indefinite quadratic form necessarily has a non-zero null direction.
Question:
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 92% (14 reviews)
If qx 0 and qy 0 then the scalar function ft qtx 1 ty satisfi...View the full answer
Answered By
JAPHETH KOGEI
Hi there. I'm here to assist you to score the highest marks on your assignments and homework. My areas of specialisation are:
Auditing, Financial Accounting, Macroeconomics, Monetary-economics, Business-administration, Advanced-accounting, Corporate Finance, Professional-accounting-ethics, Corporate governance, Financial-risk-analysis, Financial-budgeting, Corporate-social-responsibility, Statistics, Business management, logic, Critical thinking,
So, I look forward to helping you solve your academic problem.
I enjoy teaching and tutoring university and high school students. During my free time, I also read books on motivation, leadership, comedy, emotional intelligence, critical thinking, nature, human nature, innovation, persuasion, performance, negotiations, goals, power, time management, wealth, debates, sales, and finance. Additionally, I am a panellist on an FM radio program on Sunday mornings where we discuss current affairs.
I travel three times a year either to the USA, Europe and around Africa.
As a university student in the USA, I enjoyed interacting with people from different cultures and ethnic groups. Together with friends, we travelled widely in the USA and in Europe (UK, France, Denmark, Germany, Turkey, etc).
So, I look forward to tutoring you. I believe that it will be exciting to meet them.
3.00+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Linear Algebra questions
-
In special relativity, light rays in Minkowski space- time M'1 travel along the light cone which, by definition, consists of all null directions associated with an indefinite quadratic form q(x) = xT...
-
In each part, classify the quadratic form as positive definite, positive semidefinite, negative definite, negative semidefinite, or indefinite. (a) x21 + x22 (b) (x1 - x2)2 (c) x21 - x22
-
Prove Theorem 5.24. Let A be an n n symmetric matrix. The quadratic form f (x) x T Ax is a. positive definite if and only if all of the eigenvalues of A are positive. b. positive semidefinite if...
-
The value of a dirt bike decreases by 25% each year. If you purchased this dirt bike today for $500, to the nearest dollar how much would the bike be worth 5 years later?
-
JPC, Inc. is a major producer of solid-surface kitchen countertops. The countertops are made from a durable nonporous acrylic polymer and are available in a wide variety of colors. The tops resist...
-
The average retail price of gasoline (all types) for the first half of 2009 was 236.5 cents. What would the standard deviation have to be in order for a 15% probability that a gallon of gas costs...
-
A laminated plate consisting of the [90/0/90] \(]_{\mathrm{s}} \mathrm{AS} / 3501\) laminate described in Example 7.13 has a central hole, as shown in Figure 9.28. The plate is loaded uniaxially...
-
Assume the following financial data for the Noble Corporation and Barnes Enterprises: a. If all the shares of the Noble Corporation are exchanged for those of Barnes Enterprises on a share-for-share...
-
Describe leadership models that better allow for project and team success. Describe how leadership models can impact a project outcome. Describe how leadership models can impact a project outcome....
-
Allie has bought a new apple orchard. The orchard has a single file of trees, numbered from 1 to N. Each tree has a certail number of ripe apples. Allie has a rule she wants to follow. She wants to...
-
Show that x = (11) is a null direation for but x ker K. 3 2
-
Let K = KT. True or false: (a) If K admits a null direction, then ker K {0}. (b) If K has no null directions, then K is either positive or negative definite.
-
Harrison Company has a July 31 fiscal year end and uses a perpetual inventory system. The records of Harrison Company show the following data: After its July 31, 2017, year end, Harrison discovered...
-
What differences are there, if any, between the due process standards that apply to public hospitals and those that apply to private hospitals?
-
(a) Entities A and B decide to manufacture products jointly in a new territory. Entity C will undertake the manufacturing process in this territory using components supplied by entity A and entity B....
-
The data given below are available for ABC SpA for the year ended 31 December 2009. The following information has not yet been taken into account in the amounts shown in the trial balance: Inventory...
-
Agate wants the new system to provide access to the same data from every office around the world. Maintaining a network that is constantly connected between all the offices is considered too...
-
Why do you suppose physicianpatient privilege did not exist in common law but had to be created by statute?
-
The format of financial statements can vary by country. An example is the balance sheet of the German car manufacturer, BMW. It presents noncurrent assets before current assets, and stockholders...
-
The following data are supplied for the common stocks of Nikola Corporation, Tesla, Inc. and General Motors: Nikola Corp (NKLA) Tesla Inc. (TSLA) Close Price ($) Close Price ($) 67.53 30.00 40.81...
-
Let A be a symmetric nonsingular n à n matrix with eigenvalues λ1, ... ,λn. Show that max l zisn cond2(A) =-min sisn
-
Given (a) Compute the singular value decomposition of D (b) Find the value of ||D||2. 0004 0020 3000
-
Show that if D is an n à n diagonal matrix, then ll D112 = max (ldil)
-
Scenario: Yarning Circle and Talking Stick Sarah has recently been employed by Blue Bay Early Learning Centre. Sarah is very proud of having just achieved the Diploma of Children's Services and she...
-
The principal at your school decides to retire, and several well-qualified teachers on the staff apply for the position. Mr. England has been teaching for four years and has his administrator's...
-
Sandi's parents have been divorced since she was five years old. She is now seven. She lives with her mother and visits her father every other weekend. He brings her to school on Monday mornings...
Study smarter with the SolutionInn App