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Handwritten Notes on Repeated Eigenvalues | MATH 267, Study notes of Mathematics

Iowa State University (ISU)Mathematics

Material Type: Notes; Class: DIFF EQ & TRANSFMS; Subject: MATHEMATICS; University: Iowa State University; Term: Unknown 1989;

Typology: Study notes

Pre 2010

Uploaded on 09/02/2009

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koofers-user-9fs-1 🇺🇸

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Download Handwritten Notes on Repeated Eigenvalues | MATH 267 and more Study notes Mathematics in PDF only on Docsity!

Rep Suppose thet | det A - XT) = O-d) Dror Mm, O- rr | So thet Ms, Dasueypre oe distinct eigenva lues | oF the matrix A. Each clistince eigenvalue Coftespoads te at east one e igenvectol r, <> Ti ected Eve envalues From priot analysis, we Know élet & ve 1S a Solution te the differential Squation X= AX, EF d, is an eigenvalue of multiplierey Mz, there ate two posSibilities : | There are M, Linearly inclependent Cigenrectors For dX, Xx There ate fewer then Mm Ainearly independent SigenVectors Corresponding to rL.