Show that for any space V of dimension n, the dual space L(V, R) = {h: V
Question:
L(V, R) = {h: V → R | h is linear}
is isomorphic to Rn. It is often denoted V*. Conclude that V* ≅ V.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 66% (9 reviews)
Fix a basis 1 n for V We shall prove that this map is an isomorphism from ...View the full answer
Answered By
Umber Talat
I am providing full time mentoring and tutoring services in Business Finance, Contemporary issue in Global Economy, Quantitative Techniques, Principles of Marketing, strategic marketing, International Marketing, Organizational Behavior (OB), Consumer Behavior, Sales Force Management, Strategic Brand Management, Services Marketing, Integrated Marketing Communication (IMC), Principles of Management, General Management, Strategic Management, Small and Medium Enterprise Management, Innovation Management, Change Management, Knowledge Management, Strategic Planning, Operations Management, Supply Chain Management, Logistics Management, Inventory management, Total Quality Management (TQM), Productions Management, Project Management, Production Planning, Human Resource Management (HRM), Human Resource Development, Strategic HRM, Organizational Planning, Performance and Compensation Management, Recruitment and Selection, Organizational Development, Global Issues in Human Resource Management, Retail Marketing, Entrepreneurship, Entrepreneurial Marketing, International Business, Research Methods in Business, Business Communication, Business Ethics.
4.70+
158+ Reviews
236+ Question Solved
Related Book For
Question Posted:
Students also viewed these Linear Algebra questions
-
Show that, for any k, zt-1-1 2t-2 28-2-1 (e+)-E(+(-)*-)+E 2 f(a+ ihi-1). i-1 i-1
-
Consider the measurable space (W, A) and let A n A, n = 1, 2, then recall that And (i) Show that A n A n . (If also A n A n so that A n = n A n then this set is denoted by A n and is called the...
-
Show that for any probability- generating function, H (z), H (1) = 1.
-
A 35 ft3 rigid tank has air at 225 psia and ambient 600 R connected by a valve to a piston cylinder. The piston of area 1 ft2 requires 40 psia below it to float, Fig. P3.99. The valve is opened and...
-
Assume the United States is an importer of televisions and there are no trade restrictions. U.S. consumers buy 1 million televisions per year, of which 400,000 are produced domestically and 600,000...
-
Explain the challenges of managing in a global environment. LO.1
-
1 What are the main operational problems that Tesco management have to deal with in running the UK business?
-
What can a project manager do to avoid some of the pitfalls of a highly cohesive project team?
-
Question 2 Large audits are usually split into two phases. Close to the end of the year interim audits consisting of transaction testing and system assessment work are carried out. The final audit...
-
1. Is Jones correct? That is, using the more complete data set, is it true that Jones has the lowest defect rate overall? Are Joness percentages correct overall (i.e., combining domestic and overseas...
-
Let h. V R be a homomorphism, but not the zero homomorphism. Prove that if (1, . . . , n) is a basis for the null space and if V is not in the null space then (,1, . . . , n) is a basis for the...
-
Let h: P3 P4 be given by p(x) x p(x). Which of these are in the null space? Which are in the range space? (a) x3 (b) 0 (c) 7 (d) 12x - 0.5x3 (e) 1 + 3x2 - x3
-
Omar Efenti is manager of the Pacific division of Zenna Inc. His division makes a single product that is sold to industrial customers. Demand is seasonable but is readily predictable. The divisions...
-
Sams old friend Dot is considering setting up a business offering historical boating trips along the River Thames. Dot thinks that she may be able to make a good living out of this. She has carried...
-
Arrow Industries employs a standard cost system in which direct materials inventory is carried at standard cost. Arrow has established the following standards for the direct costs of one unit of...
-
Explain the financial effect (increase, decrease, or no effect) of each of the following transactions on stockholders' equity: a. Purchased supplies for cash. b. Paid an account payable. c. Paid...
-
What type of account-asset, liability, stockholders' equity, dividend, revenue, or expense-is each of the following accounts? Indicate whether a debit entry or a credit entry increases the balance of...
-
Is it possible for an accounting transaction to only affect the left side of the accounting equation and still leave the equation in balance? If so, provide an example.
-
Use any method to find the volume of the solid obtained by rotating the region enclosed by the curves about the given axis. y 2 = x 1 , x = 1, x = 3, axis y = 3
-
A city maintains a solid waste landfill that was 12 percent filled at the end of Year 1 and 26 percent filled at the end of Year 2. During those periods, the government estimated that total closure...
-
In exercise 1 and 2 the factorization A = PDP-1 to compute Ak, where k represents an arbitrary positive integer. 1. 2. 2 0 2 1-6] [3-2][-3 0] 2 0 2
-
Construct a nonzero 2 x 2 matrix that is invertible but not diagonalizable.
-
Construct a nondiagonal 2 x 2 matrix that is diagonalizable but not invertible.
-
Practicum Co. pad $1.2 million for an 80% interest in the common stock of Sarong Co. Practicum had no previous equity interest in Sarong. On the acquisition date, Sarong's identifiable net assets had...
-
On Dec 31 2020, Bernice Melson, a partner in ABC Communications, had an ending capital balance of $49,000. Her share of the partnership's profit was $18,000; she made investments of $12,000 and had...
-
Q2R. on account for each depreciable asset. During 2024, Jane VIIS nsactions.) i More Info Apr. 1 Purchased office equipment. 5111,000. Paid 581,000 cash and financed the remainder Jan. 1 with a note...
Study smarter with the SolutionInn App