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MXB106Semester 2, 2018Week 6 WorksheetWorkshopWeek 6: Eigenvalues and eigenvectorsQ5 will be done by the tutor at the end of the workshop1. If the matrixA=124-1has the eigenvalueλ= 3, show that the vectorv=11Tis the corresponding eigenvector.2. LetAandxbe as follows:A=401232104;x=121Confirm by multiplication thatxis an eigenvector ofA. What is the correspondingeigenvalue?3. LetA=13-3-37-3-66-2(a) Find the characteristic equation forA.(b) Find the eigenvalues forAand their corresponding multiplicities.(c) For each eigenvalue, find the corresponding eigenvectors.4. LetA=1-321(a) Find the characteristic equation forA.(b) Find the eigenvalues forAand their corresponding multiplicities.(c) For each eigenvalue, find the corresponding eigenvectors.5. LetA=2111211121
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Chapter 5 / Exercise 77
Finite Mathematics and Applied Calculus
Costenoble/Waner
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MXB106Semester 2, 2018Week 6 WorksheetWorkshop(a) Verify that the characteristic equation ofAis (λ-4)(λ-1)2= 0.(b) Using your result from (a), find the eigenvalues ofAand their corresponding
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Term
Spring
Professor
a
Tags
Linear Algebra, Number Theory, Eigenvectors, Vectors, Eigenvalues, Eigenvalue eigenvector and eigenspace, characteristic equation, corresponding eigenvectors
We have textbook solutions for you!
The document you are viewing contains questions related to this textbook.
Finite Mathematics and Applied Calculus
The document you are viewing contains questions related to this textbook.
Chapter 5 / Exercise 77
Finite Mathematics and Applied Calculus
Costenoble/Waner
Expert Verified

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