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1 ~l E 11. LetA: -l 1 2 ' 2 -2 ll 1 {i paints.) Show that "1 is an aim of A. What. is the Eigenvalue? 2 .3 iJ {ii} {5 painter.)

Linear Algebra

(eigenvector)

*Please answer all parts.


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K-3.jpg

1 ~—l E
11. LetA: -l 1 —2 '
2 -2 ll 1
{iflfi paints.) Show that "1 is an aim of A. What. is the Eigenvalue? 2 .3 iJ {ii} {5 painter.) What" :5 the ran]; of A? Ebrp]3.i.1:-l {briefly} why this makes {II an aiganvnlue
91' A with multiplicity 2 '— ' l.- {iii} {5 paints} Find «El-bask far the gimme for tha aigenwlue 11 {iv} {5 paints} Find an ntthugnnal basis fez-r R“ fiHIBiEfiIIE of eiganvacmra Elf A. You
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