Investigando características hereditárias com o auxílio da álgebra linear.

Abstract

This workaimstoperformamathematicalstudytoinvestigatethepropagationofahereditary characteristic insuccessivegenerationsthroughthediagonalizationofmatricesandthecalcula- tion oftheirpowers.Inthispaperwewillpresentahistoricalcontextabouttheemergenceof newtypesofalgebrasandthebiographyofsomemathematicianswhohavebroughtimportant contributionstothisbranchofmathematics.WewillalsopresentawholetheoryofLinear Algebra rangingfromVectorSpacestoDiagonalizationofOperatorsandintroductoryconcepts related toheredity,wewillfinishtheworkwiththestudyofsomeapplications.Inthisstudyit waspossibletoinsertLinearAlgebratheoryintothegeneticsofheredityandthustoinvestigate the propagationofcertaincharacteristicsnotonlyinasmallnumberofgenerations,butalsoto haveresultsoftheirdistributionsinanynumberofgenerations.