Theorem on Diagonalization - Handwritten Notes | MATH 310, Study notes of Linear Algebra

Material Type: Notes; Class: Applied Linear Algebra; Subject: Mathematics; University: University of Illinois - Chicago; Term: Unknown 2012;

Typology: Study notes

2011/2012

Uploaded on 05/18/2012

koofers-user-8xf
koofers-user-8xf 🇺🇸

10 documents

1 / 6

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
pf3
pf4
pf5

Partial preview of the text

Download Theorem on Diagonalization - Handwritten Notes | MATH 310 and more Study notes Linear Algebra in PDF only on Docsity!

é 6.3 Dra gen tilraatrow “Theorem! If Aye A are Aistinct eraen values of A Covres pondiney Kye Ky eCaen Vectovs —» *K, wee Kye ace [Mheavly Mndepanclend . Definctrow ~ Ann Dragonalizable if aA non stagulat D a Aragon a | matvix sit. XY AX =D Theoram- A nxn Diagonalraable “ff A has n \Yneav ly indepen dant etaan Vectors — Prook : A nxn lin eavly Mn depenclant an geuvectors ‘% os : Ty ky ( Ax, 5X) nota Ay May = dS ) ~~ (x, , --%.) ts now Straular, =X AKU AX =(Ax,,Ax.-- Axa)? xe,» - Nuke) = (x, - 2X alee oO \-xo x ° ~ “> A X = Xx / —_—? N “XDX' L Diagonalvec ble,