Verify that the characteristic polynomial of the Leslie matrix L in Equation (3) is cL() = (-1)n(n

Question:

Verify that the characteristic polynomial of the Leslie matrix L in Equation (3) is
cL(λ) = (-1)n(λn - b1 λn-1 - b2s1 λn-2 - b3s1s2 λn-3 - ∙∙∙ - bns1s2 ∙∙∙sn-1)

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

Step by Step Answer:

Related Book For book-img-for-question

Linear Algebra A Modern Introduction

ISBN: 978-1285463247

4th edition

Authors: David Poole

See More Books

Question Posted: Apr 15, 2016 06:19 AM

See More Questions

Suppose that the characteristic polynomial of some matrix, 4 is found to be p() = ( - 1)( - 3)2(-4)3 In each part, answer the question and explain your reasoning (a) What is the size o f A? (b) Is A...
Verify the Cayley-Hamilton Theorem for That is, find the characteristic polynomial cA(Î») of A and show that cA(A) = 0. An important theorem in advanced linear algebra says that if cA...
The characteristic polynomial of the square matrix A is usually defined as rA(x) = det (xIn - A). Find a specific relationship between our characteristic polynomial, pA (x), and rA(x), give a proof...
A trader depreciates his vehicles at 40% per annum using the reducing balance method, with proportionate depreciation in the year of acquisition. In addition to vehicles acquired on 1 July 2010 for...
On December 31, 2013, Ogleby Associates owned the following securities that are held as long-term investments. On this date, the total fair value of the securities was equal to its cost. The...
What is the recognition lag? The policy lag? The impact lag?
Describe how HR can help motivate employees.(p. 93)
On January 1, 2010, the Field Company acquired 40% of the North Company by purchasing 8,000 shares for $144,000 and obtained significant influence. On the date of acquisition, Field calculated that...
You are planning to save for retirement over the next 35 years. To do this, you will invest $759 per month in a stock account and $215 per month in a bond account. The return of the stock account is...
Write a program that prompts the user to enter the minutes (e.g., 1 billion), and displays the number of years and days for the minutes. For simplicity, assume a year has 365 days. Here is a sample...
If a Leslie matrix has a unique positive eigenvalue 1, what is the significance for the population if is 1 > 1? 1 > 1? 1 = 1?
If all of the survival rates si are nonzero, let 0 SI 0 sis, . . . s,'-1 0 0
Relate an incident in which your attitude affected communication.
1. The KYM company wants to invest $ 523,000 pesos in the bank that guarantees a simple interest rate of 3.32% quarterly. If the company is considering the 8-month investment. What amount will you...
3. (5 points) The uncertainty principle limits our ability to determine simultaneously the position and momentum of a particle. (a) Why were classical physicists unaware of the limitations that this...
CASE STUDY Patient Name Valarie Ramirez Attending Paul F. Buckwalter, MD PATIENT INFORMATION DOB 08/04/1986 Allergies MAN 00-AA-006 Penicillin Other Information Past HX: AB x1 Valarie Ramirez arrives...
Petesy Corporation is preparing its Master Budget for 2019. Budget information is as follows: SalesProduction CostOperating Expenses 20191 st Quarter P280,000P192,000P64,000 2 nd Quarter 320,000...
A steady flow of 20 m3/s of moist air at TDB = 35iC, TWB = 25iC, 100 kPa (state 1) is dehumidified by first cooling it and condensing out moisture (state 2), then reheating it to 20iC and 50% R.H....
In the realization of call-by-name discussed so far, a promise is created for each argument expression. That might seem like overkill. For instance, we dont need promises for numeric values like 42...
How do individual companies respond to economic forces throughout the globe? One way to explore this is to see how well rates of return for stock of individual companies can be explained by stock...
Solve the given system of equations using either Gaussian or Gauss-Jordan elimination. a + b + c + d = 10 a + 2b + 3c + 4d = 30 a + 3b + 6c + 10d = 65 a + 4b + 8c + 15d = 93
Determine by inspection (i.e., without performing any calculations) whether a linear system with he given augmented matrix has a unique solution, infinitely many solutions, or no solution. Justify...
Determine by inspection (i.e., without performing any calculations) whether a linear system with he given augmented matrix has a unique solution, infinitely many solutions, or no solution. Justify...
Marie Forleo, a marketing trainer and host of MarieTV, presents the eight tips for genuine networking. Do you agree or disagree with her suggestions? Discuss how this information is useful to you and...
Identify all relevant costs or revenue that are applicable to production- constrained decisions 1. Contributions margin of product 2. Interference with other production 3. Contribution margin per...
Gammaro Compary manufactures wallets from fabric. In 2 0 1 9 , Gammaro made 2 , 1 5 0 , 0 0 0 wallets using 1 , 2 5 0 , 0 0 0 yards of fabric. In 2 0 1 9 , Gammaro has capacity to make 2 , 8 0 0 , 0...

Verify that the characteristic polynomial of the Leslie matrix L in Equation (3) is cL() = (-1)n(n

Question:

Step by Step Answer:

From the Leslie matrix in Equation 3 we have For n ...View the full answer

Linear Algebra A Modern Introduction

Students also viewed these Linear Algebra questions