2. Classify the Stability of Fixed Points in a Dynamical SystemThe dynamical system problem is located on page 60 of the file. Identify the fixed points andclassify their stability using linearization and eigenvalues.Link: [https://drive.google.com/file/d/1RQ2OZk-LSxpRyejKEMg1t2q15dbpVLCS/view?usp=sharing]Provide a detailed explanation of your analysis.

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Answered: 2. Classify the Stability of Fixed…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 18RE

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Explain “dynamical system”?
Complete solution. By hand? determine if S={(1, 1, 1); (1, 1, 0); (1, 0, 0)} is linearly independent and spans R^3? -If possible, give the matlab syntaxes to verify the answer.
Identify the matrix that represents each linear transformation below. Write A, B, C, D, D or F. 20 -2 0 A = B= = 02 0 -√212 √212 (39), ^ - (² :) " - ( - ² - 2).C-( √²/2 √212) P-(-03). E-(0-²). 2 D= E= 20 and F= √212-√212 √212 √212 1. Clockwise rotation by an angle of 450 is associated to matrix 2. Counterclockwise rotation by an angle of 45° is associated to matrix 3. Clockwise rotation by an angle of 90° is associated to matrix 4. Counterclockwise rotation by an angle of 900 is associated to matrix 5. A dilation by a factor of 2 is associated to matrix 6. Reflexion about the origin and a dilation by a factor of 2 is associated to matrix Hint: Draw a vector and its image under each transformation.
Look for at least five Generalized Linear Models (GLM) models that don't use canonical links. Give me the specifications model
Suppose A, B, and X are n x n matricies with A, X, and A - AX invertible and suppose (A - AX)^-1 = X^-1B a. explain why B is invertible b. solve (3) for X, If you need to invert a matrix, explain why that matrix is inveritble.
Define a new interpretation of the description “dynamical system” for a collection of interdependent differential equations?
-9 - A Find the greatest value of A that make the matrix A singular. - 6 -2 - A = 2.
Could you also break down the (I-A)^-1 part more I am having trouble understanding that?
Create a world transform matrix that translates by 3, 5, 7 and rotates 80° about the x-axis.
Categorize the eigenvalues and eigenvectors of the coefficient matrix A according to the accompanying classifications and sketch the phase portrait of the system by hand. Then use a computer system or graphing calculator to check your answer. Click here to view page 1 of Gallery of Typical Phase Portraits for the System x'=Ax: Nodes Click here to view page 2 of Gallery of Typical Phase Portraits for the System x'=Ax: Nodes Click here to view page 3 of Gallery of Typical Phase Portraits for the System x'=Ax: Nodes The system shows a saddle point System of equations Matrix equation |x₁' = -2x₁ - 5x₂ x₂ = 4x1 + 2x2 -2 -5 4 2 Eigenvectors Eigenvalues 21,2= ± 14 and its eigenvalues are distinct, opposite in sign, and real. x' = V1,2= 1+ i2 -2 X
Please answer all parts correctly
Suppose that a surface contains a straight line. Explain why, for any point in this line, the second fundamental form must have a 0 eigenvalue.

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