Lecture 25 Slides - Lecture 25 Math 416 Ely Kerman reproduced by Jinhyung To University of Illinois at Urbana-Champaign Last time Last time A Mnn is

Lecture 25 Slides - Lecture 25 Math 416 Ely Kerman...

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Lecture 25, Math 416 Ely Kerman – reproduced by Jinhyung To University of Illinois at Urbana-Champaign
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Plan for diagonalization Plan 1) Find eigenvaluesλ1,...,λk2) Find a basisβjforEλj3) If
Polynomials split over the real numbers Today we refine our answer to Question “ Is A diagonalizable?” Def n A polynomial f ( t ) splits over R if there are scalars c , a 1 ,..., a k R s.t. f ( t ) = c ( t - a 1 )( t - a 2 ) ... ( t - a k ) timestamp: 07:18

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