Let Jn be the n Atilde n matrix each of whose entries is 1 Show that if n 1, then (1 Jn) 1 1 , n 1...

We must show that I J n I 1 n1 J n I or that I 1 n1 J n I J n I By ...

Let Jn be the n Ã n matrix each of whose entries is 1. Show that if

Question:

Let Jn be the n Ã— n matrix each of whose entries is 1. Show that if n > 1, then

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

Step by Step Answer:

Related Book For book-img-for-question

Elementary Linear Algebra with Applications

ISBN: 978-0471669593

9th edition

Authors: Howard Anton, Chris Rorres

See More Books

Question Posted: Jun 17, 2016 07:58 AM

See More Questions

If A1, A2, , Ak, is an infinite sequence of n Ã n matrices, then the sequence is said to converge to the n Ã n matrix , A if the entries in the ith row and jth column of the sequence...
Let J be the n Ã n matrix of all I's, and consider A = (a - b)I + bJ; that is, Use the results of Exercise 16 in the Supplementary Exercises for Chapter 3 to show that the eigenvalues of A are...
Let A be an m Ã n matrix of rank n with singular value decomposition UVT. Let + denote the n Ã m matrix and define A+ = V+ UT. Show that = A+b satisfies the normal equations ATAx = ATb....
Given the following network, with the indicated flow capacities along each branch, determine the maximum flow from source node 1 to destination node 10 and the flow along eachpath: 15 5 10 7 16 12 0...
Acme Equipment Company is considering the development of a new machine that would be marketed to tire manufacturers. Research and development costs for the project are expected to be about $4 million...
Susan Huang began the practice of law October 1, 2020, with an initial investment of $10,500 in cash. She made no withdrawals during the month. After completing the first month of practice, the...
Discuss the rights and responsibilities of unions and management.
Prepare budgetary entries, using general ledger accounts only, for each of the following unrelated situations: a. Anticipated revenues are $10 million; anticipated expenditures and encumbrances are...
The Application Appointment ( A simple calculator and notepad is helpful for this activity. ) You are a loan originator, and you have a new couple, Pat and Kris as customers who would like to apply...
OCallaghan Incorporated (OI) is in the highway construction business. OIs property, plant, and equipment account includes heavy construction equipment. The following transactions relate to the...
Find values of a, b, and c such that the graph of the polynomial p(x) = ax + bx + c passes through the points (1, 2), (- 1, 6), and (2, 3).
Prove: If B is invertible, then AB-1 = B-1 A if and only if AB - BA.
The set of expectations held by an individual about what he or she will contribute to the organization and what it will provide in return is a/an ______ ______.
Why is it difficult to determine award amounts in wrongful life cases? I. The cost for an entire lifetime is difficult to determine II. The cost is usually determined by comparing the "injured" with...
Firms expect each of their products to: cover the direct costs of production and help contribute to the regular fixed costs. cover the direct costs of production, but not contribute to the fixed...
The Operations Manager of Toshiba's laptop manufacturing plant is about to prepare her annual report to the Board of Directors. Using the table below, she outlined the performance of the plant based...
The population of a colony of bacteria grows according the formula P(t) = 4(1.40) 24 where: P represents the population t represents time in hours How long, to the nearest hour, does it take the...
4. Ethan bought new car worth $60 000. After 5 years, the car was worth $35 429.40. Calculate the depreciation rate of the Ethan's car. [T4] [C2]
Solve Problem for x exactly without using a calculator. log 9 x = 3/2
The comparative statements of financial position of Menachem NV at the beginning and end of the year 2019 appear below. Net income of ¬34,000 was reported, and dividends of ¬23,000 were paid...
Let Pi(xi, yi, zi), i = 1, 2, 3, be three points in 3-space. Show that is the equation of a plane (see Section 5.2) through points Pi, i = 1,2,3. 21 2 2 22 1
Prove properties (a) through (h) for the cross product operation.
Verify that each of the cross products u x v in Exercise 1 is orthogonal to both u and v. In Exercise 1 (a) u = 2i + 3j + 4k, v = -i + 3j - k (b) u = i + k, v = 2i + 3j - k (b) u = i - j + 2k, v = 3i...
York's outstanding stock consists of 80,000 shares of cumulative 7.5% preferred stock with a $5 par value and also 200,000 shares of common stock with a $1 par value. During its first four years of...
Hudson Community College enrolls students in two departments, Liberal Arts and Sciences. The college also has two service departments, the Library and the Computing Services Department. The usage of...
Robert is designing a new Active Directory Domain Services infrastructure for a company called Litware, Inc., which has its headquarters in New York and two additional offices in London and Tokyo....

Let Jn be the n Ã n matrix each of whose entries is 1. Show that if

Question:

(1- Jn)- =1-- 1_, n-1

Step by Step Answer:

We must show that I J n I 1 n1 J n I or that I 1 n1 J n I J n I By ...View the full answer

Elementary Linear Algebra with Applications

Students also viewed these Linear Algebra questions