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by: Miss Johan Jacobson


Miss Johan Jacobson
GPA 3.6


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This 4 page Study Guide was uploaded by Miss Johan Jacobson on Monday October 19, 2015. The Study Guide belongs to MTH 254 at Oregon State University taught by Staff in Fall. Since its upload, it has received 22 views. For similar materials see /class/224457/mth-254-oregon-state-university in Mathematics (M) at Oregon State University.

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Date Created: 10/19/15
7 254u20007sg7eigenvectsmws Mth 254 Summer 2000 Answers to section 22 of the Spring Term edition of the Mth 254 Study Guide Note the eigenvects command returns a list of objects of the form eigenvalue multiplicity eigenvectors I included the eigenvals command which returns just the eigenvalues because its output is easier to read in those cases where one just needs to know the eigenvalues gt restart gt withlinalg Warning new definition for norm Warning new definition for trace gt A01matrix22 6215 6 2 A0141 5i 47 gt eigenvals A01 gt eigenvects A01 41117121 gt A02matrix22 412 3 4 1 A0242 3l 5 2 gt eigenvals A02 21125111 gtA03matrix224 152 4 1 A0345 2i gt eigenvals A03 32I3 2I gt eigenvects A03 3211112132111121 gtA04matrix22 51 5 3 5 l 140475 a 421 4 21 gt eigenvals A04 l l l l l l l l l l Page 1 I V l V I V r V r I I I l r I V V V V V V V V V eigenvects A04 1 2 42I1 I1 1 2 4 2I1 I1 5 5 5 5 A05matrix22 622 3 6 2 A053972 a H eigenvals A05 7 2 eigenvects A05 21127121 A06matrix22 6223 2 3 6 A06 7 2 eigenvals A06 2 7 eigenvects A06 21127121 A07matrix335222 2020 2 5 2 2 A072 2 0 2 0 2 eigenvals A07 632 eigenvects A0 7 3112221011614111 A08matrix33 53332o3o2 5 3 3 A08 3 2 0 3 0 2 eigenvals A08 2 8 1 eigenvects A08 2 1 09391 8 1 1 3919 1 1 1 A09matrix33 7030 72325 7 0 3 A09 0 7 2 3 2 5 eigenvals A09 687 eigenvects A0 9 Page 2 r 81 321 71 12061 39 39 9 39 a a 2 a 2 a 2 gt A10matrix33 101o12125 v 1 A10 0 1 Nb O 1 2 5 gt eigenvals A10 0 1 6 gt eigenvects A10 61125111210101121 gt Problem 11 gt form11 6xquot24xy 3yquot2 form11 6x24xy 3y2 gt A11hessianform112 XY 6 2 A quot 2 a 7 2 gt eigenvals A11 gt V11 eigenvects A11 V11I71212112 gt zzop1V111 3 c011norm2 1 col g 2 1M gt zzop1V112 3 c012norm2 1 0012 g1 2 1 1 L f 1 L 7 gt S11 aug39mentc011 c012 5 a 15 a gt J11evalminverseS11 amp A11 amp 11 7 0 J1 0 J gt canonf11evalmmatrix12uv amp J11 amp matriX21 uVJ 11 canon 7 u2 2 v2 Problem 12 Page 3 I V I l form12 6xquot24 xy3yquot2 form12 6x24xy3y2 A12 hessianform122 XY 6 2 A12quot2 3 27 eigenvals A1 2 V1 2 eigenvects A1 2 V1217 12 12112 zzop1V121 3 collnorm2 1 col g21 col2norm2 1 0012 g1 2 zzop1V1223 S12 aug39ment c011 c012 5 w S12 1 2 w 5 J12evalminverseS12 amp A12 amp 12 7 0 J12quot0 2 canonf12zevalmmatrix12uv amp J12 amp matriX21 uVJ 11 canon 12 7 u2 2 v2 Page 4


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