▁with ▁algebraic ▁multip licity ▁n , ▁but ▁only ▁one ▁distinct ▁eigen vector , ▁▁▁▁ ▁In ▁fact , ▁any ▁defect ive ▁matrix ▁has ▁a ▁n ont rivial ▁Jordan ▁normal ▁form , ▁which ▁is ▁as ▁close ▁as ▁one ▁can ▁come ▁to ▁diagonal ization ▁of ▁such ▁a ▁matrix . ▁ ▁Example ▁▁ ▁A ▁simple ▁example ▁of ▁a ▁defect ive ▁matrix ▁is : ▁ ▁which ▁has ▁a ▁double ▁eigen value ▁of ▁ 3 ▁but ▁only ▁one ▁distinct ▁eigen vector ▁ ▁( and ▁constant ▁multi ples ▁there of ). ▁ ▁See ▁also ▁▁ ▁Jordan ▁normal ▁form ▁ ▁Notes ▁ ▁References ▁▁▁▁▁ ▁Category : Linear ▁algebra <0x0A> </s> ▁Joseph ▁II ▁of ▁Jerusalem ▁was ▁the ▁patri arch ▁of ▁the ▁Church ▁of ▁Jerusalem ▁from ▁ 9 8 1 ▁to ▁ 9 8 5 . ▁Little ▁is ▁known ▁of ▁his ▁life . ▁It ▁was ▁during ▁his ▁epis cop ate ▁that ▁S ada q ah ▁I bn ▁B ish r , ▁the ▁Patri arch al ▁sync ell us , ▁was ▁able ▁to ▁complete ▁the ▁renov ation ▁of ▁the ▁Church ▁of ▁the ▁Holy ▁Sep ul ch re ▁that ▁had ▁been ▁dam aged ▁by ▁fire ▁during ▁ri ots ▁in ▁ 9 6 6 . ▁Joseph ▁was ▁a ▁phil os opher ▁and ▁a ▁phys ician ▁as ▁well ▁as ▁a ▁gener ous ▁al msg iver . ▁In ▁ 9 8 5 , ▁he , ▁like ▁Christ od ulus ▁II ▁earlier , ▁died ▁in ▁C airo . ▁ ▁References ▁▁ ▁Category : 1 0 th - century ▁b ish ops ▁Category : Pat ri arch s ▁of ▁Jerusalem