Question: Let A e Rx4 be a matrix and suppose you know that 2 100 1 100 0 0 8 2 0 0 2 8

Let A e Rx4 be a matrix and suppose you know that

Let A e Rx4 be a matrix and suppose you know that 2 100 1 100 0 0 8 2 0 0 2 8 X = is a solution of the Lyapunov equation AX + XAT = -I. Without solving for A explicitly, can you evaluate etAdt ? If yes, justify each step carefully. If no, why not?

Step by Step Solution

★★★★★

3.44 Rating (154 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Suppose you know that a companys stock currently sells for $63 per share and the required return on the stock is 10.4 percent. You also know that the total return on the stock is evenly divided...

Suppose you know that an investment will earn a positive return in the future. Why is it important to know the present value of the investment?

Suppose you know that a company's stock currently sells for $47 per share and the required return on the stock is 11 percent. You also know that the total return on the stock is evenly divided...

Prof. Alan J. Laub December 11, 2014 EE 205A - FINAL EXAMINATION Fall 2014 Instructions: (a) The exam is closed-book (except for one two-sided page of notes) and will last 2 hours. Write your answers...

A creative engineer suggests structuring the TLB so that not all the bits of the presented address need match to result in a hit. Suggest how this might be achieved, and what might be the costs and...

In a Hopfield neural network configured as an associative memory, with all of its weights trained and fixed, what three possible behaviours may occur over time in configuration space as the net...

Math\t107-6381\t-\tQuiz\t#4\t-\tSchultz\t-\tDue\tFebruary\t21,\t2016\t-\tpage\t1\tof 3 Follow\tthese\tdirections\tcarefully. This\tquiz\tis\tdue\tby\t11:59\tEastern\ttime\ton\tFebruary\t21,\t2016. o...

6.1. Carbondale Company has the following credit policy 2/10, net 30. Carbondale also charges 1% per month interest on all accounts after 30 days. The following table shows the collection schedule of...

Corporate governance refers to ____. A. the fact that corporations heavily influence the actions of governments through their lobbying efforts B. the notion that corporations act like a democracy in...

Tariq manages a database for ABC Corp. As a database manager, he is responsible for collecting all compliance data and entering the information into an excel spreadsheet. He is a salaried employee,...

Suppose an ATM of a community bank dispenses $100,000 per week. Restocking the ATM costs $500. The bank has amazing opportunities for investment, so the cost of holding $1 for a year in an ATM is $1....

A group of faculty was interested in predicting the average incoming SAT scores of students, based on their high school GPA. What is the correct type of test that should be used to analyze this data?...

Kyra, a single taxpayer, owns and operates a bakery (as a sole proprietorship). The business is not a "specified services" business. In 2023, the business pays $60,000 of W-2 wages, has $150,000 of...

Autumn wants to start a business. She has two goals. First, she doesn't have much money but she's ready to get business up and running with the least possible hassle and expense. Second, she wants to...

there is no option to upload excel file so i took the photo of it Business Problem Scenario You have been approached by your client, Banana Industries Pty Ltd, to assist them in planning a new...

Use multiplication or division of power series to find the first three nonzero terms in the Maclaurin series for each function. y = e x2 cos x

A local government is considering ways to raise taxes to pay for making sidewalks. One prominent citizen suggests taxing people based on how much they walk on the sidewalk, measured in yards each...

Lisa is a self-employed physical therapist who works from a rented space. Lisa charges $250 for a therapy session. She incurred the following costs last month: space and equipment rental, $1,200;...

You are playing a game with a friend. Its your move but you dont have a dominant strategy. Your payoff depends on what your friend does after your move. You consider flipping a coin to decide what to...

The experience of an emotion is generally brief, lasting only seconds or minutes; moods often last for hours or days.

Happiness is described as the combination of life satisfaction and emotional well-being, the tendency to experience more positive emotions than negative emotions.

Social functional theory proposes that emotions enable people to form, maintain, and negotiate the relationships that matter most, such as romantic bonds, friendships, social hierarchies, and...