Show that the representation in equation (6) is unique, that is, if x = 1x1 + a2x2
Question:
x = α1x1 + a2x2 +..........+ anxn
and also if
x = β1x1 + β2x2 +............+ βnxn
then αi = βi for all i.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 66% (9 reviews)
Suppose x has two representations that is x 1...View the full answer
Answered By
Susan Juma
I'm available and reachable 24/7. I have high experience in helping students with their assignments, proposals, and dissertations. Most importantly, I'm a professional accountant and I can handle all kinds of accounting and finance problems.
4.40+
15+ Reviews
45+ Question Solved
Related Book For
Question Posted:
Students also viewed these Numerical Analysis questions
-
Show that the representation v = c 1 a (1) + . . . + c n a (n) of any given vector in an n-dimensional vector space V in terms of a given basis a (1) , . . ., a (n) for V is unique. Take two...
-
If q(x) is an arbitrary polynomial in Pn' it follows from Exercise 60(b) that q (x) = c0p0(x) + . . . + cnpn(x).....................(1) for some scalars c0, . . . , cn. (a) Show that ci = q (ai) for...
-
The set S = {x1. x2. . . . , xn} is affinely dependent if and only if there exist numbers a1, a2, . . . , an, not all zero, such that a1x1 + a2x2 +...........+ anxn = 0 with a1 + a2 +..........+ an =...
-
A total weighted score of in an External Factor Evaluation (EFE) Matrix indicates that an organization is responding in an outstanding way to existing opportunities and threats in its industry. Oa....
-
In 2004, at Governor Schwarzeneggers urging, California adopted a budget measure that involved taxing punitive damages awards 75 percent. What this measure did was to take a punitive damages award in...
-
Your firm purchases goods from its supplier on terms of 3/15, net 40. a. What is the effective annual cost to your firm if it chooses not to take the discount and makes its payment on day 40? b. What...
-
Estimate the wind force on your hand when you hold it out of your car window while driving \(55 \mathrm{mph}\). Repeat your calculations if you were to hold your hand out of the window of an airplane...
-
What is revaluation of plant assets? When should revaluation be applied?
-
You win a $10,000,000 Lottery which is paid in equal annual installments of $500,000 over 20 years. If the discount rate is 4%, how much is the Lottery prize actually worth today?
-
Jose is considering acquiring a new luxury automobile costing $70,000 that will be used 100% in his business. The salesperson at the automobile dealership states that Jose will be entitled to...
-
Every subspace S of a linear space is linearly dependent.
-
Every linear space has a basis. [Let P be the set of all linearly independent subsets of a linear space X. P is partially ordered by inclusion. Use Zorn's lemma (remark 1.5) to show that P has a...
-
Draw a graph that shows the usual relationship between the marginal product of labor and the average product of labor. Why do the marginal product of labor and the average product of labor curves...
-
An obligation to perform actions that are already required. a. barren pr omise b. consideration c. forbearance d. gratuitous promis e e. general re lease f. moral c onsideration g. past c...
-
Indicate whether each of the following statements is true or false by writing T or F in the answer c olumn. A newspaper advertisement of goods for sale is usually considered an invitation to trade.
-
Increasing global temperatures can result from increasing amounts of carbon dioxide released into the atmosphere. a. National Environmental Policy Act b. environmental impact Statement c....
-
Indicate whether each of the following statements is true or false by writing T or F in the answer c olumn. An offer to pay for a benefi t after it has been received is enforceable.
-
An unoffi cial category of crime that generally does not involve force or violence. a. arson b. bribery c. burglary d. extortion e. felony f. forgery g. misdemeanor h. perjury i. robbery j....
-
K. Sato, F.R. Eirich, and J.E. Mark (J. Polymer Sci., Polym. Phys. 14, 619 (1976)) have reported the data in the table below for the osmotic pressures of polychloroprene ( = 1.25 g cm 3 ) in toluene...
-
This problem continues the Draper Consulting, Inc., situation from Problem 12-45 of Chapter 12. In October, Draper has the following transactions related to its common shares: Oct 1 Draper...
-
As an agricultural engineer, you must design a trapezoidal open channel to carry irrigation water (Figure). Determine the optimal dimensions to minimize the wetted perimeter for a cross-sectional...
-
Find the optimal dimensions for a heated cylindrical tank designed to hold 10 m3 of fluid. The ends and sides cost $200/m2 and $100/m2, respectively. In addition, a coating is applied to the entire...
-
A finite-element model of a cantilever beam subject to loading and moments (Figure) is given by optimizing ?(x, y) = 5x 2 ? 5xy + 2.5y 2 ? x ? 1.5y Where x = end displacement and y = end moment. Find...
-
The following condensed information was reported by Peabody Toys, Incorporated, for 2024 and 2023: Income statement information Net sales Net income Balance sheet information Current assets Property,...
-
A bond with face value of $1,000 has annual coupons, promised coupon rate of 8%, and 5 years to maturity. Investors require an expected return of 5% from this bond. The probability of default is 2%...
-
How does the increasing influence of technology on governance and civic participation affect democratic processes, and what safeguards are necessary to ensure that technology enhances rather than...
Study smarter with the SolutionInn App