Transcription of Math 2331 { Linear Algebra
{{id}} {{{paragraph}}}
Example: air traffic controller
Math 2331 { Linear Algebra
DiagonalizationMath 2331 Linear DiagonalizationJiwen HeDepartment of Mathematics, University of jiwenhe/math2331 Jiwen He, University of HoustonMath 2331, Linear Algebra1 / DiagonalizationDiagonalization Theorem DiagonalizationDiagonalizationMatrix Powers: ExampleDiagonalizableDiagonalization TheoremDiagonalization: ExamplesJiwen He, University of HoustonMath 2331, Linear Algebra2 / DiagonalizationDiagonalization Theorem ExamplesDiagonalizationThe goal here is to develop a useful factorizationA=PDP 1,whenAisn n. We can use this to computeAkquickly for matrixDis adiagonalmatrix ( entries off the maindiagonal are all zeros).
5.3 Diagonalization DiagonalizationTheoremExamples Diagonalization: Example (cont.) Step 2. Find three linearly independent eigenvectors of A. By solving (A I)x = 0; for each value of , we obtain the following: Basis for = 1: v 1 = 2 4 0 1 1 3 5 Basis for = 2: v 2 = 2 4 0 1 0 3 5; v 3 = 2 4 1 0 1 3 5 Jiwen He, University of Houston Math 2331 ...
Loading..
Tags:
Information
Domain:
Source:
Link to this page:
Please notify us if you found a problem with this document: