DIFFERENTIAL EQUATIONS-NEXTGEN WILEYPLUS
DIFFERENTIAL EQUATIONS-NEXTGEN WILEYPLUS
3rd Edition
ISBN: 9781119764564
Author: BRANNAN
Publisher: WILEY
bartleby

Videos

Textbook Question
Book Icon
Chapter 3.1, Problem 14P

Eigenvalues and Eigenvectors. In each of Problems 13 through 32 , find the eigenvalues and eigenvectors of the given matrix.

A = ( 3 −   2 4 −   1 )

Expert Solution & Answer
Check Mark

Want to see the full answer?

Check out a sample textbook solution
Blurred answer
Previous
Chapter 3.1, Problem 13P
Next
Chapter 3.1, Problem 15P
Students have asked these similar questions
QUESTION 2
Find all the values of the variables in the following matrices that will make the equationstrue.
Problems 23 through 26 introduce the idea-developed more fully in the next section of a multiplicative inverse of a square matrix. 23. Let 2 А B = = A-[39]- *-[23] 2]. = [a b]. ¹ = [1 2]. and Find B so that AB = I= BA as follows: First equate en- tries on the two sides of the equation AB = I. Then solve the resulting four equations for a, b, c, and d. Finally verify that BA = I as well.

Chapter 3 Solutions

DIFFERENTIAL EQUATIONS-NEXTGEN WILEYPLUS

Ch. 3.1 - Solving Linear Systems. In each of Problems 1...Ch. 3.1 - Solving Linear Systems. In each of Problems 1...Ch. 3.1 - Solving Linear Systems. In each of Problems ...Ch. 3.1 - Solving Linear Systems. In each of Problems 1...Ch. 3.1 - Solving Linear Systems. In each of Problems ...Ch. 3.1 - Solving Linear Systems. In each of Problems 1...Ch. 3.1 - Solving Linear Systems. In each of Problems ...Ch. 3.1 - Solving Linear Systems. In each of Problems ...Ch. 3.1 - Solving Linear Systems. In each of Problems ...Ch. 3.1 - Solving Linear Systems. In each of Problems 1...
Ch. 3.1 - Solving Linear Systems. In each of Problems 1...Ch. 3.1 - Solving Linear Systems. In each of Problems ...Ch. 3.1 - Eigenvalues and Eigenvectors. In each of Problems...Ch. 3.1 - Eigenvalues and Eigenvectors. In each of Problems...Ch. 3.1 - Eigenvalues and Eigenvectors. In each of Problems...Ch. 3.1 - Eigenvalues and Eigenvectors. In each of Problems...Ch. 3.1 - Eigenvalues and Eigenvectors. In each of Problems...Ch. 3.1 - Eigenvalues and Eigenvectors. In each of Problems...Ch. 3.1 - Eigenvalues and Eigenvectors. In each of Problems...Ch. 3.1 - Eigenvalues and Eigenvectors. In each of Problems...Ch. 3.1 - Eigenvalues and Eigenvectors. In each of Problems...Ch. 3.1 - Eigenvalues and Eigenvectors. In each of Problems ...Ch. 3.1 - Eigenvalues and Eigenvectors. In each of Problems...Ch. 3.1 - Eigenvalues and Eigenvectors. In each of Problems ...Ch. 3.1 - Eigenvalues and Eigenvectors. In each of Problems ...Ch. 3.1 - Eigenvalues and Eigenvectors. In each of Problems ...Ch. 3.1 - Eigenvalues and Eigenvectors. In each of Problems...Ch. 3.1 - Eigenvalues and Eigenvectors. In each of Problems ...Ch. 3.1 - Eigenvalues and Eigenvectors. In each of Problems...Ch. 3.1 - Eigenvalues and Eigenvectors. In each of Problems ...Ch. 3.1 - Eigenvalues and Eigenvectors. In each of Problems ...Ch. 3.1 - Eigenvalues and Eigenvectors. In each of Problems ...Ch. 3.1 - In each of Problems through : Find the...Ch. 3.1 - In each of Problems through : Find the...Ch. 3.1 - In each of Problems 33 through 36: Find the...Ch. 3.1 - In each of Problems through : Find the...Ch. 3.1 - If , derive the result in Eq. for . …...Ch. 3.1 - Show that =0 is an eigenvalue of the matrix A if...Ch. 3.2 - Writing Systems in Matrix Form. In each of...Ch. 3.2 - Writing Systems in Matrix Form. In each of...Ch. 3.2 - Writing Systems in Matrix Form. In each of...Ch. 3.2 - Writing Systems in Matrix Form. In each of...Ch. 3.2 - Writing Systems in Matrix Form. In each of...Ch. 3.2 - Writing Systems in Matrix Form. In each of...Ch. 3.2 - Writing Systems in Matrix Form. In each of...Ch. 3.2 - Writing Systems in Matrix Form. In each of...Ch. 3.2 - Show that the functions and are solutions of...Ch. 3.2 - (a) Show that the functions x(t)=et(2cos2tsin2t)...Ch. 3.2 - Show that is solution of the...Ch. 3.2 - (a) Show that x=et(2t1t1)+(6t+22t1) issolution of...Ch. 3.2 - Find the equilibrium solution, or critical point,...Ch. 3.2 - Prob. 14PCh. 3.2 - In each of Problems through : Find the...Ch. 3.2 - In each of Problems through : Find the...Ch. 3.2 - In each of Problems 15 through 20: (a) Find the...Ch. 3.2 - In each of Problems 15 through 20: (a) Find the...Ch. 3.2 - In each of Problems 15 through 20: (a) Find the...Ch. 3.2 - In each of Problems through : Find the...Ch. 3.2 - Second Order Differential Equations. In Problems...Ch. 3.2 - Second Order Differential Equations. In Problems...Ch. 3.2 - Second Order Differential Equations. In Problems...Ch. 3.2 - Second Order Differential Equations. In Problems...Ch. 3.2 - In each of Problems 25 and 26, transform the given...Ch. 3.2 - In each of Problems 25 and 26, transform the given...Ch. 3.2 - Applications. Electric Circuits. The theory of...Ch. 3.2 - Applications. Electric Circuits. The theory of...Ch. 3.2 - Applications. Electric Circuits. The theory of...Ch. 3.2 - Mixing Problems. Each of the tank shown in...Ch. 3.2 - Consider two interconnected tanks similar to those...Ch. 3.3 - General Solutions of Systems. In each of problems...Ch. 3.3 - General Solutions of Systems. In each of problems...Ch. 3.3 - General Solutions of Systems. In each of problems...Ch. 3.3 - General Solutions of Systems. In each of problems...Ch. 3.3 - General Solutions of Systems. In each of problems...Ch. 3.3 - General Solutions of Systems. In each of problems...Ch. 3.3 - General Solutions of Systems. In each of problems...Ch. 3.3 - General Solutions of Systems. In each of problems...Ch. 3.3 - General Solutions of Systems. In each of problems...Ch. 3.3 - General Solutions of Systems. In each of problems...Ch. 3.3 - General Solutions of Systems. In each of problems...Ch. 3.3 - General Solutions of Systems. In each of problems...Ch. 3.3 - In each of problems 13 through 16, solve the given...Ch. 3.3 - In each of problems 13 through 16, solve the given...Ch. 3.3 - In each of problems 13 through 16, solve the given...Ch. 3.3 - In each of problems 13 through 16, solve the given...Ch. 3.3 - Phase Portraits and Component Plots. In each of...Ch. 3.3 - Phase Portraits and Component Plots. In each of...Ch. 3.3 - Phase Portraits and Component Plots. In each of...Ch. 3.3 - Phase Portraits and Component Plots. In each of...Ch. 3.3 - Phase Portraits and Component Plots. In each of...Ch. 3.3 - Phase Portraits and Component Plots. In each of...Ch. 3.3 - Phase Portraits and Component Plots. In each of...Ch. 3.3 - Phase Portraits and Component Plots. In each of...Ch. 3.3 - Second order Equations. For Problems through...Ch. 3.3 - Second order Equations. For Problems through...Ch. 3.3 - Second order Equations. For Problems through...Ch. 3.3 - Second order Equations. For Problems through...Ch. 3.3 - Second order Equations. For Problems through...Ch. 3.3 - Second order Equations. For Problems 25 through...Ch. 3.3 - Obtaining exact, or approximate, expressions for...Ch. 3.3 - Electric Circuits. Problem 32 and 33 are concerned...Ch. 3.3 - Electric Circuits. Problem and are concerned...Ch. 3.3 - Dependence on a Parameter. Consider the system...Ch. 3.4 - General Solutions of Systems. In each of Problems...Ch. 3.4 - General Solutions of Systems. In each of Problems ...Ch. 3.4 - General Solutions of Systems. In each of Problems...Ch. 3.4 - General Solutions of Systems. In each of Problems ...Ch. 3.4 - General Solutions of Systems. In each of Problems...Ch. 3.4 - General Solutions of Systems. In each of Problems ...Ch. 3.4 - In each of Problems through, find the solution of...Ch. 3.4 - In each of Problems through, find the solution of...Ch. 3.4 - In each of Problems 7 through 10, find the...Ch. 3.4 - In each of Problems through, find the solution of...Ch. 3.4 - Phase Portraits and component Plots. In each of...Ch. 3.4 - Phase Portraits and component Plots. In each of...Ch. 3.4 - Dependence on a Parameter. In each of Problems ...Ch. 3.4 - Dependence on a Parameter. In each of Problems ...Ch. 3.4 - Dependence on a Parameter. In each of Problems ...Ch. 3.4 - Dependence on a Parameter. In each of Problems ...Ch. 3.4 - Dependence on a Parameter. In each of Problems ...Ch. 3.4 - Dependence on a Parameter. In each of Problems 13...Ch. 3.4 - Dependence on a Parameter. In each of Problems 13...Ch. 3.4 - Dependence on a Parameter. In each of Problems 13...Ch. 3.4 - Applications. Consider the electric circuit shown...Ch. 3.4 - Applications. The electric circuit shown in...Ch. 3.4 - Applications. In this problem, we indicate how to...Ch. 3.5 - General Solution and Phase Portraits. In each of...Ch. 3.5 - General Solutions and Phase Portraits. In each of...Ch. 3.5 - General Solutions and Phase Portraits. In each of...Ch. 3.5 - General Solutions and Phase Portraits. In each of...Ch. 3.5 - General Solutions and Phase Portraits. In each of...Ch. 3.5 - General Solutions and Phase Portraits. In each of...Ch. 3.5 - In each of Problems 7 through , find the solution...Ch. 3.5 - In each of Problems 7through 12, find the solution...Ch. 3.5 - In each of Problems 7 through , find the solution...Ch. 3.5 - In each of Problems 7 through , find the solution...Ch. 3.5 - In each of Problems 7 through , find the solution...Ch. 3.5 - In each of Problems 7 through , find the solution...Ch. 3.5 - Consider again the electric circuit in Problem 22...Ch. 3.5 - Trace Determinant Plane. Show that the solution of...Ch. 3.5 - Consider the linear system , where and are real...Ch. 3.5 - Continuing Problem 15, Show that the critical...Ch. 3.6 - For each of the systems in Problem through : Find...Ch. 3.6 - For each of the systems in Problem through : Find...Ch. 3.6 - For each of the systems in Problem 1 through 6: a)...Ch. 3.6 - For each of the systems in Problem through : Find...Ch. 3.6 - For each of the systems in Problem through : Find...Ch. 3.6 - For each of the systems in Problem 1 through 6: a)...Ch. 3.6 - For each of the systems in Problem 7 through 12:...Ch. 3.6 - For each of the systems in Problem through : Find...Ch. 3.6 - For each of the systems in Problem through : Find...Ch. 3.6 - For each of the systems in Problem through : Find...Ch. 3.6 - For each of the systems in Problem through : Find...Ch. 3.6 - For each of the systems in Problem through : Find...Ch. 3.6 - For each of the systems in Problem through : Find...Ch. 3.6 - For each of the systems in Problem 13 through 20:...Ch. 3.6 - For each of the systems in Problem through : Find...Ch. 3.6 - For each of the systems in Problem 13 through 20:...Ch. 3.6 - For each of the systems in Problem through : Find...Ch. 3.6 - For each of the systems in Problem through : Find...Ch. 3.6 - For each of the systems in Problem through : Find...Ch. 3.6 - For each of the systems in Problem 13 through 20:...Ch. 3.6 - Consider the system in Example . Draw a component...Ch. 3.6 - In this problem we indicate how to find the...Ch. 3.6 - Prob. 23PCh. 3.6 - An asymptotically stable limit cycle is a closed...Ch. 3.6 - A model for the population, x and y of two...Ch. 3.P1 - Assume that all the rate constants in , are...Ch. 3.P1 - Estimating Eigenvalues and Eigenvectors of from...Ch. 3.P1 - Computing the Entries of from Its Eigenvalues and...Ch. 3.P1 - Given estimates Kij of the entries of K and...Ch. 3.P1 - Table 3.P.1 lists drug concentration measurements...Ch. 3.P2 - If represents the amount of drug (milligrams) in...Ch. 3.P2 - Prob. 2PCh. 3.P2 - Assuming that and , use the parameter values...Ch. 3.P2 - If a dosage is missed, explain through the...Ch. 3.P2 - Suppose the drug can be packaged in a...

Additional Math Textbook Solutions

Find more solutions based on key concepts
If 8 new teachers are to be divided among 4 schools, how many divisions are possible? What if each school must ...

A First Course in Probability (10th Edition)

CHECK POINT I Express as a percent.

Thinking Mathematically (6th Edition)

Matching In Exercises 17–20, match the level of confidence c with the appropriate confidence interval. Assume e...

Elementary Statistics: Picturing the World (7th Edition)

Fill in each blank so that the resulting statement is true. An equation that expresses a relationship between t...

Algebra and Trigonometry (6th Edition)

Find the point-slope form of the line passing through the given points. Use the first point as (x1, .y1). Plot ...

College Algebra with Modeling & Visualization (5th Edition)

The graph of the given data and whether it is a linear or a non-linear function

Pre-Algebra Student Edition

Knowledge Booster
Background pattern image
Math
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Text book image
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
Text book image
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:9781305658004
Author:Ron Larson
Publisher:Cengage Learning
Text book image
College Algebra
Algebra
ISBN:9781337282291
Author:Ron Larson
Publisher:Cengage Learning
SEE MORE TEXTBOOKS
Lecture 46: Eigenvalues & Eigenvectors; Author: IIT Kharagpur July 2018;https://www.youtube.com/watch?v=h5urBuE4Xhg;License: Standard YouTube License, CC-BY
What is an Eigenvector?; Author: LeiosOS;https://www.youtube.com/watch?v=ue3yoeZvt8E;License: Standard YouTube License, CC-BY