MATH 1ZC3 Lecture Notes - Lecture 7: Ethiopian Aristocratic And Court Titles, Cdx2

• School: McMaster University
• Department: Mathematics
• Course: MATH 1ZC3
• Professor: Aaron Child

Document Summary

Minotenty if it is square thentheminor ofentry aij mi"s is thedeterminantofthematrixobtainedby delingrowi ma m f p. Cofact thecofactorof entry qij is definedas lij that. If aisnxn thendetca an4 anl s t t aincn co factoreypansionotaalongroule"s iiil 40. 40 del a anci t a is cis 1a1343. 3cd li fi cd h d t8it c 4h 12 soi getdeterminatbydeletingtherow columnthata is in thenc1 alternatebetween veand ve. Thisexpansioncanbedoneon alonganyroleor colony youusuallychoseonethathasthemost0 eg a expansionon column 2 a sicss dekata jfgfi up ay to lo t 5 28. Ifyouget4x4 keepexpendinguntilyouget 2 2 findtherow1colum withthemost0 es expend: t. I tot 0 zexpert repeattheprocess: t 2 1fot l 2cd l if i. O t z 2 11 cdx2: 4 i 12. If aistriangular then detca productofthediagonalentries cg a: o 3 8. J o z g f y detca txt 4 3 4. Er usingcofator expansion whichis troublesome possibleto firstmakethe matrice into trianganal thenusethis method.