Mathematics 1229A/B Lecture 22: Lecture 22

• School: Western University
• Department: Mathematics
• Course: Mathematics 1229A/B
• Professor: Mohsen Mollahajiaghaei

Document Summary

5geggs findde1a de1a ade1a aade1aa asdetn. is a detain: o o. 2det gg a 2cg 3c2 2l121 delb 36 de1a 2de113. Example: o o o o a fog. 0 a ade1a asdetab aude1ay t ai de1ais: o t o. 1 if a squarematrixhasa zero row orcolumn itsdeterminantis zero. 2 if a squarematrixhas 2 equalnews or twoequalcolumns itsdeterminantiszero. Example: l 2 i o i 2 3 2 1 at a logo coz and. 2 o: o o i 2 3 2 i let a o g g f. Findde1a de1a a de1a aade1a a a detacs audetay ta de1a. Asquarematrixiscalledlowertriangle ifalltheentriesabovethemaindiagonalare zerosimilarly a square matrixiscalleduppertriangleif alltheentriesbelowthemaindiagonalarezero t. Theorem if a matrixa oforder isuppertriangle lowertriangle on diagonal thende1a a asa theproduct oftheentriesonthemaindiagonal if 1 is an identitymatrixofanyorderthende11 1 ann detl detffog. 24 37 det atl de1a de1 i de1 atde1 i 25. A i de1a a de1a find k suchthat detail acadetaia a zdetars. Gt 8k t 3 12k t 34 4k.