Question: 1 1 1 Show that the matrix A= -3 2 1 satisfies (Arl) = 0 for some number r and some positive integer k

1 1 1 Show that the matrix A= -3 2 1 satisfies (Arl) = 0 for some number r and some positive integer k

1 1 1 Show that the matrix A= -3 2 1 satisfies (Arl) = 0 for some number r and some positive integer k and use this fact to determine the 93-5 matrix e At Hint: Compute the characteristic polynomial and use the Cayley-Hamilton theorem. Substitute the value of r and the smallest value of k that solve the equation. 11 1 -3-2 1 9 3-5 1 0 0 - 0 1 0 = 0 001 What is e e At = At?

Step by Step Solution

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!

Juran, a recent hire in the quality department, was assigned the task of finding defective semi-conductor chips that were being manufactured at the rate of 1000 units per day. Juran discovered that...

Let r and s be solutions to the quadratic equation x 2 b x + c = 0. For n N, define d0 = 0 d1 = r s dn = b dn1 c dn2 (n 2) Prove that dn = r n s n for all n N. [4 marks] (b) Recall that a commutative...

Show the parse trees for the two parses that the grammar assigns for sentence S1. S1: the train station bus rumbles [3 marks] (b) Give an algorithm for a bottom-up passive chart parser without...

MATH:4050: Introduction to Discrete Mathematics. Homework 6 due 10/06/17. 1. Find the coecient of x41 x22 x3 in the expansion of (2x1 6x2 8x3 )7 . 2. Use Newton's binomial theorem to compute 30 to 4...

Homework about stack I need this. C or C++ does not matter. Stacks Lab Objectives: Base Conversion using stack (Binary to decimal) Postfix Calculator Study postfix not at? n and see how stacks are us...

the answer is below my question how to find values of c ?? Use the fast exponentiation algorithm of Figure 9.8 to determine 5596 mod 1234. Show the steps involved in the computation. 9.16 1 9 8 7 6 5...

1. A player throws a fair die and simultaneously flips a fair coin. If the coin lands heads, then she wins twice, and if tails, then one-half of the value that appears on the die. Determine her...

You will write a program that will take an input file that describes the land, the starting point, potential lodges we can relax in, and some other characteristics for our skier. For each lodge...

Welcome! Please read this page (in particular) very carefully. Instructions You need to understand how to send your assignments (deliverables) to your instructor. The tabs (bottom of each sheet) in...

9.1 Exercise (JDK Source Code): Extract the source code of the class Math from the JDK source code ("$JAVA_HOME" "src.zip" "Math.java" under folder "java.lang"). Study how constants such as E and...

Regarded as the world's largest photocopier maker Xerox has gone through a range of turbulent periods. During the 1980's of the crucial factors, which contributed to the mediocre performance of Xerox...

Write a Research Paper on a event that affected the Department of Homeland Security, What the event was? what impact the event had? what was the response to the event? was the response successful or...

In strategic management, both the short 4 e m and long - term perspectives need bo be considered because Multiple Choice shareholder value is only measumed by shor sems seturn. shareholders only cave...

The fairing which covers the spacecraft package in the nose of the booster rocket is jettisoned when the rocket is in space where gravitational attraction is negligible. A mechanical actuator moves...

In a 2018 study reported in The New England Journal of Medicine, Halpern et al. randomly assigned smokers to one of five groups, including four smoking cessation interventions and usual care. Usual...

Suppose a student is selected at random from a large college population. a. Label each pair of events as mutually exclusive or not mutually exclusive. i. The students is a Chemistry major; the...

You are considering investing in a security that will pay you $2,000 in 28 years. a) If the appropriate discount rate is 11%, what is the present value of this investment? b) Assume these investments...

What does this program print? public class Test { public static void main(String[] args) { System.out.println("39 + 3"); System.out.println(39 + 3); } }

During the year, a resident citizen sold her vacation house for P1,500,000. She acquired it for P700,000 two (2) years ago. The fair market value of the vacation house at the time of sale was...

Computer Lab: Matrix Machine Use the matrix machine from IDE (Lab 15) to analyze each transformation from R2 to R2 in Problems 1 to 2, and answer the following questions. (a) Which vectors are not...

Independence Checking, Use the Wronskian to check the subsets of C(R) in Problems 1-3 for linear independence? 1. {5, cos t, sin t} 2. {et, e-t, 1} 3. {2 + t, 2 - t, t2}

Consider the DEs of Problems (a) Match each DE with its corresponding direction field in Fig. 1.2.8. (b) State your reasons. What characteristic (s) cawed you to make each match? a. y' = 1 b. y' = y...

=+d) At the end of a day, a worker comments Boy, Im tired. Today was sure unusually busy! How many repair calls would justify such an observation.

=+b) What assumption did you make about the repair calls?

=+31. Commuting, part 2. A commuter finds that she waits an average of 14.8 seconds at each of five stoplights, with a standard deviation of 9.2 seconds. Find the mean and the standard deviation of...