, ▁commercial ▁and ▁resident ial ▁properties . ▁Other ▁resident ial ▁develop ments ▁are ▁under ▁construction ▁both ▁on ▁the ▁beach ▁and ▁within ▁walking ▁distance ▁to ▁the ▁beach . ▁ ▁Cl imate ▁ ▁References ▁ ▁External ▁links ▁Tel ch ac ▁Puerto ▁on ▁Y uc atan ▁Today ▁ ▁www . tel ch ac p uerto y uc atan . com ▁ ▁V ac ation ▁R ent als ▁ ▁Category : Pop ulated ▁places ▁in ▁Y uc at án <0x0A> </s> ▁In ▁linear ▁algebra , ▁the ▁Cr out ▁matrix ▁decomposition ▁is ▁an ▁L U ▁decomposition ▁which ▁decom poses ▁a ▁matrix ▁into ▁a ▁lower ▁tri angular ▁matrix ▁( L ), ▁an ▁upper ▁tri angular ▁matrix ▁( U ) ▁and , ▁although ▁not ▁always ▁needed , ▁a ▁permut ation ▁matrix ▁( P ). ▁It ▁was ▁developed ▁by ▁Pres c ott ▁Dur and ▁Cr out . ▁▁ ▁The ▁Cr out ▁matrix ▁decomposition ▁algorithm ▁diff ers ▁slightly ▁from ▁the ▁D ool ittle ▁method . ▁D ool ittle ' s ▁method ▁returns ▁a ▁unit ▁lower ▁tri angular ▁matrix ▁and ▁an ▁upper ▁tri angular ▁matrix , ▁while ▁the ▁Cr out ▁method ▁returns ▁a ▁lower ▁tri angular ▁matrix ▁and ▁a ▁unit ▁upper ▁tri angular ▁matrix . ▁ ▁So , ▁if ▁a ▁matrix ▁decomposition ▁of ▁a ▁matrix ▁A ▁is ▁such ▁that : ▁ ▁A ▁= ▁L DU ▁ ▁being ▁L ▁a ▁unit ▁lower ▁tri angular ▁matrix , ▁D ▁a ▁diagonal ▁matrix ▁and ▁U ▁a ▁unit ▁upper ▁tri angular ▁matrix , ▁then ▁D ool ittle ' s ▁method ▁produces ▁ ▁A ▁= ▁L ( DU )