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parallel lines a spiral source a proper nodal sink an improper nodal source a center icient matrix A acc n use a computer s a proper nodal source traits for the Syster a spiral sink an improper nodal sink traits for the Syster traits for the Syster and its eigenvalues are 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. System of equations Matrix equation ×₁ = 2x1 + 4x2 ×2' = 4x1 + 2x2 Eigenvalues 24 x' = 4 2 Eigenvectors 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 and its eigenvalues are Sketch a graph of the phase portrait. Choose the correct answer below. ○ A. ✗1 ✓ B. ✓ ○ C. × 1 ☑ - 1 1 |2₁ = −2,22 = 6 = 1 1 1 ○ D. ×1 ✓

parallel lines a spiral source a proper nodal sink an improper nodal source a center icient matrix A acc n use a computer s a proper nodal source traits for the Syster a spiral sink an improper nodal sink traits for the Syster traits for the Syster and its eigenvalues are 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. System of equations Matrix equation ×₁ = 2x1 + 4x2 ×2' = 4x1 + 2x2 Eigenvalues 24 x' = 4 2 Eigenvectors 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 and its eigenvalues are Sketch a graph of the phase portrait. Choose the correct answer below. ○ A. ✗1 ✓ B. ✓ ○ C. × 1 ☑ - 1 1 |2₁ = −2,22 = 6 = 1 1 1 ○ D. ×1 ✓

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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parallel lines a spiral source a proper nodal sink an improper nodal source a center icient matrix A acc n use a computer s a proper nodal source traits for the Syster a spiral sink an improper nodal sink traits for the Syster traits for the Syster and its eigenvalues are
Transcribed Image Text:parallel lines a spiral source a proper nodal sink an improper nodal source a center icient matrix A acc n use a computer s a proper nodal source traits for the Syster a spiral sink an improper nodal sink traits for the Syster traits for the Syster and its eigenvalues are
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. System of equations Matrix equation ×₁ = 2x1 + 4x2 ×2' = 4x1 + 2x2 Eigenvalues 24 x' = 4 2 Eigenvectors 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 and its eigenvalues are Sketch a graph of the phase portrait. Choose the correct answer below. ○ A. ✗1 ✓ B. ✓ ○ C. × 1 ☑ - 1 1 |2₁ = −2,22 = 6 = 1 1 1 ○ D. ×1 ✓
Transcribed Image Text: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. System of equations Matrix equation ×₁ = 2x1 + 4x2 ×2' = 4x1 + 2x2 Eigenvalues 24 x' = 4 2 Eigenvectors 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 and its eigenvalues are Sketch a graph of the phase portrait. Choose the correct answer below. ○ A. ✗1 ✓ B. ✓ ○ C. × 1 ☑ - 1 1 |2₁ = −2,22 = 6 = 1 1 1 ○ D. ×1 ✓
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