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One of our earlier topics was the eigenvalue problem for systems of linear algebraic equations. We now have looked at eigenvalue techniques for solving boundary value problems involving linear ordinary differential equations. The claim was made that there were strong parallels between eigenvalue problems for these two different types of problems. • How would you describe the similarities? • What is your understanding of the significance of both linear algebraic and linear ODE's qualifying as linear operators?

One of our earlier topics was the eigenvalue problem for systems of linear algebraic equations. We now have looked at eigenvalue techniques for solving boundary value problems involving linear ordinary differential equations. The claim was made that there were strong parallels between eigenvalue problems for these two different types of problems. • How would you describe the similarities? • What is your understanding of the significance of both linear algebraic and linear ODE's qualifying as linear operators?

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 70EQ
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One of our earlier topics was the eigenvalue problem for systems of linear algebraic equations. We now have looked at eigenvalue techniques for solving boundary value problems involving linear ordinary differential equations. The claim was made that there were strong parallels between eigenvalue problems for these two different types of problems. • How would you describe the similarities? • What is your understanding of the significance of both linear algebraic and linear ODE's qualifying as linear operators?
Transcribed Image Text:One of our earlier topics was the eigenvalue problem for systems of linear algebraic equations. We now have looked at eigenvalue techniques for solving boundary value problems involving linear ordinary differential equations. The claim was made that there were strong parallels between eigenvalue problems for these two different types of problems. • How would you describe the similarities? • What is your understanding of the significance of both linear algebraic and linear ODE's qualifying as linear operators?
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