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...
-
On the basis of the details of the following bonds payable and related discount accounts, indicate the items to be reported in the Financing section of the statement of cash flows, assuming no gain...
-
Presented here are the accounts of Town and Country Realty Corporation for the year ended December 31, 2011. Requirements 1. Prepare Town and Country Realty Corporations income statement. 2. Prepare...
-
Suppose Nikes managers were considering expanding into producing sports beverages. Why might the company decide to do this under the Nike brand name?
-
Traditional Management Accounting (TMA) Systems were used to suit traditional manufacturing systems. It uses broad arbitrary percentages to allocate costs including overhead costs. These costs are...
-
Burger King is one of the largest fast-food franchise operations in the world. Recently, the district manager for Burger King in Las Vegas conducted a study in which she selected a random sample of...
-
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...
-
Prove that cos(l) is irrational.
-
This chapter introduces many important terms and concepts. Certain of these terms and concepts are noted in the following listing. Find quotes/descriptions that explain/contrast each of the matched...
-
Determine whether each of the following items is an: (a) Cash (b) Dividend to shareholders (c) Land (d) Accounts payable (e) Capital stock (f) Notes payable (g) Accounts receivable (h) Salaries (i)...
-
If interest rates decline, which would you rather be holding, long-term bonds or short-term bonds? Why? Which type of bond has the greater interest-rate risk?
-
Suppose a few investors are looking for an investment opportunity that will yield high returns. They are willing to invest in private securities instead of government bonds. However, their analyst...
-
Explain briefly the rationale for SPC.
-
For the given isomorphic mapping of a subfield of E, give all extensions of the mapping to an isomorphic mapping of E onto a subfield of Q. Describe the extensions by giving values on the generating...
-
Fred Farmer needs to prepare a balance sheet for his bank. He spent the day getting the following information. Fred needs your help to build a balance sheet and evaluate it. The information was...
-
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...
-
Conflict can be a barrier to creating change; therefore, it is important to consider how to overcome the roadblocks that conflict can create. How do Fullan's (2014) five components of leadership...
-
Mary Lykins has two children which she claims along with herself totaling 3 exemptions. She earns $ 5 5 0 a week. What amount will be withheld for federal income tax?
-
Christine O'Brien, who is self - employed, wants to invest $ 8 0 , 0 0 0 in a pension plan. One investment offers 7 % compounded quarterly Another offers 6 . 7 5 % compounded continuously a . Which...
Study smarter with the SolutionInn App