MATH 1ZC3 Lecture 12: 5.2 Diagnalization
20 Feb 2019
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If a barenxn thenbissimar 6a it there matrixissuchthat b p ap 11mgsymbol an invertible it bia is aib. If bia thenaib hastlesanelildeterminant notice. mn citrate ciicharacteristicpolynomial iigg n nteitaa. agitb. Ci takedeterminant on bothside de413 deelp ap t. sexrate detcab detcaldetcb1detcb dettptdetcaldehzdea decca. tk detcb detca or detcb deep ap ydehab detcba detcb detcp1pa del a ciilciiildetcxl ai. tt0 characteristicequation characteristic polynomial detail b detect map de f de4ptap wrong delcahdfde. ecttdetcb. In detcx. ptsl p a. p detcp1pcx a det xi a theconvergeoftheaboveresultisfalse ingeneral i e ii de4a detcb trad trot doesntmean. As if b issimilar to a is b similar toaz yeslt. Check is 132 p a p given thez p. Diagnolize an nxnematrixis diagnolizable suchthat pap d adiagnolmatrix is a diagnolizable eg if it isdiagonalizable prove p a p d ginn pia p d i doffyahemetobe. Bisadiagnd matrix i te there asimilar maxtriatoa thatisdiagnal. If a isdiagnolizable is atdiagnolizable examplewhen i arenotthesame. Pi a b d j ftp. y atfplyt pz1apdt di.
