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The Electronic Journal of Linear Algebra.

A publication of the International Linear Algebra Society.

Volume 7, pp. 100-111, September 2000.

ISSN 1081-3810. http://math.technion.ac.il/iic/ela

ELA

✂✁☎✄✝✆✟✞✡✠☛✂✄✌☞✎✍☎✏✒✑✓✍☎✏✒✔✖✕✡✄✗✂✄✌☞✎✘✙✏✚✍☎✠✎✍☎✜✛ ✢✤✣✦✥★✧✪✩✬✫✤✭✮✢✬✯✱✰✳✲✮✴✶✵✒✷✪✭✳✸✺✹✻✢✬✩✽✼✻✭✿✾❀✭❁✩❂✯

❃❅❄❇❆❉❈❋❊❋●■❍❏❈▲❑ ✷✪▼❖◆✤P❖◆❘◗❙◆❉❚❱❯❳❲❩❨❭❬❏❨▲◗✳❪❴❫❵❚❜❛❝❫❵❯❳❞✺❡❩◆❉❢❣❯❅❬❋◗❙❚❱❲❩❛❉◆❝❤❜❛❝❬❏❨❖❨❖❫❏◗✪✐■◆❥◆❘❢▲◗❙◆❉❨❖P✺◆❝P❅◗❱❫❧❦▲♠❭❬❋◗❱◆❝❚❱❨❖❲❩❫❵❨❖❲❩❛❥❯❅❬❋◗❙❚❱❲❩❛❝◆❉❤❝♥ ✣♦❨❖❤♣◗❙◆❝❬❏Prq✒◗❙▼❖◆❂✵▲◗❙♠✺P✺s❅P❖◆❘◗❙◆❉❚❱❯❳❲❩❨❭❬❏❨▲◗❁❬❏❨❖P❳◗❙▼❖◆❥❛❉❡❩❫❵❤❙◆❉❡s❳❚❙◆❉❡t❬❋◗❱◆❉P✗✉❝✈♦P❖◆❘◗❙◆❉❚❱❯❳❲❩❨❭❬❏❨▲◗❁❬❏❚❙◆✪✇❥❲❩P✺◆❝❡s①♠❖❤❙◆❉Pr♥②✣♦❨❳◗❙▼✺❲❩❤✮❞❭❬❏❞■◆❉❚ ❲◗✪❲❩❤❁❤❙▼✺❫③✇✤❨✗◗❱▼❭❬❋◗✪◗❙▼✺◆④✵▲◗❙♠✺P✺s✌P✺◆❉◗❱◆❉❚❙❯❳❲❩❨❭❬❏❨✚◗✪❛❝❬❏❨✌✐■◆✬❛⑤▼❖❬❏❚⑤❬❏❛❘◗❙◆❉❚❱❲❩⑥❝◆❉P⑦❬❏❤❁◗❱▼❖◆❂♠❖❨❖❲❩❦▲♠❖◆✬❪⑧♠❖❨❖❛❘◗❱❲❩❫❵❨❭❬❏❡❀◆❘❢✒◗❱◆❉❨❖P❖❲❩❨❖⑨①◗❱▼❖◆ ⑩▲❶❝❷❘❸❵❹❺✺❻♦❼✻❽❋⑩❵❹❺❖❼

❫❏❪❭◗❱▼❖◆❁❛❉❫❵❯❳❞❖❡❩◆❘❢❂P❖◆❘◗❱◆❝❚❱❯❳❲❩❨❭❬❏❨✚◗③q✚❬❏❨✺P❣❲◗❱❤❇❤❙❞■◆❉❛❉◗❱❚⑤❬❏❡❖❬❏❨❖P❧❡❩❲❩❨✺◆③❬❏❚②❬❏❡❩⑨❵◆❉✐❖❚❙❬❏❲❩❛❁❬❏❤❙❞■◆❉❛❘◗❙❤❜❬❏❚❙◆✮P✺❲❩❤❙❛❉♠❖❤❙❤❱◆❉Pr♥ ❾✌❿▲➀✟➁❧➂

❊❏➃❇❆❵❑➅➄

♠❖❬❋◗❙◆❉❚❙❨✺❲❩❫❵❨❖❤③q■➆⑦❬❋◗❱❚❙❲❩❛❉◆❉❤③q❖✼✻◆❘◗❙◆❉❚❱❯❳❲❩❨❭❬❏❨▲◗❝♥ ❃❅➇➉➈✎❆❋➊❀❄r➋

❍❏❈❅❍▲➌➍●■❆❝❆❋➎❩➏②❍❵●❖❈❵➎ ➂r➐

❆❵❑④➑❝➒ ✹✬➓❵➔✺q

➑❝➒ ✹✻→❵→

➣✳↔ ✏▲↕✮➙▲➛❭➜✪➝✻➞❥➟➠➙✒➡♣➜✳↕ ↔✱➢✗➤②➥❭➦❋➧▲➨❋➩➭➫❴➯➠➩➭➫➳➲➸➵❴➫❴➩➭➧✒➥➠➨☛➥➠➵⑧➺➻➧▲➼➭➨❏➥➽➫❴➾⑦➥■➦❝➦③➨❏➥➠➲✚➦③➫❴➩➭➺✡➺➠➨❋➯❭➚❳➫⑧➩➭➺➽➫⑧➩r➦❋➧▲➨❋➧✒➾❝➦☛➫❴➩ ➦③➪②➧▲➯➠➨❋➧✚➦❋➫❴➲✒➥■➵❜➶➭➪❀➹❀➾③➫➳➲▲➾✌➘➍➴❵➷⑧➬✮➘➮❖➷⑤➱❀✃✟➥■➫❴➩➭➵⑧➹❐➫❴➩✟➦③➪②➧✌➲▲➯➠➩r➦③➧▲❒r➦❣➯■❮✤❰r➤②➥➠➩➻➦❋➤➭✃Ï✃❐➧✒➲❏➪②➥➠➩➭➫❴➲✒➾④➥➠➩②Ð❐Ñ②➧✒➵❴Ð✓➦③➪➭➧▲Ò ➯➠➨❋➹Ó➘Ô❭➷⑤ÕÖ➢✗➤②➥❭➦❋➧▲➨❋➩➭➫❴➯➠➩➭➫➳➲☛✃✟➥❭➦③➪②➧▲✃✟➥❭➦❋➫❴➲✒➥■➵✤➾❝➦③➨❋➤②➲❵➦❋➤➭➨❋➧✒➾❳➪②➥❖×➻➧⑦➨③➧✺➲✚➧✒➩➻➦❋➵⑧➹Ø➥■➶②➶❜➧✺➥■➨❋➧✒Ð✡➫⑧➩ÙÐ➭➫❴➾❋➲✚➤②➾❋➾③➫⑧➯➻➩②➾ ➯■❮✮➧▲➫❴➺➠➧✒➩❀×❖➥➠➵⑧➤②➧❳➧✒❰r➤②➥❭➦❋➫⑧➯➻➩②➾❳➘❩Ú✺➷⑤➱❜➘Û❖➷❙➱r➺➠➨❋➯➠➤②➶➸➦❋➪➭➧▲➯➻➨③➹✎➘Ü❭➷⑤➱❜➘⑧➴✒Ý❭➷❙➱❀➥■➩②Ð✜➦❋➪➭➧❳➺➠➨❏➥■➩②Ð✱➤➭➩②➫➍Ñ❜➲✒➥❭➦❋➫⑧➯➻➩✱✃❐➯❇Ð❇➧✒➵ ➘⑧➴➠➴❵➷⑤➱✤➘⑧➴✺Þ✺➷✤➚❳➫⑧➦③➪②➫⑧➩☎➥❐❰r➤②➥❭➦❋➧▲➨❋➩➭➫⑧➯➻➩➭➫➳➲Ö❮✦➯➻➨③✃✜➤➭➵➳➥❭➦③➫❴➯➠➩➽➯■❮❂❰r➤②➥■➩r➦③➤②✃ß➶➭➪❀➹❇➾❝➫➳➲▲➾✒Õ

à ➪➭➧❣❰➻➤②➧✒➾❝➦③➫❴➯➠➩✂➯➠❮②➧✚❒❀➦③➧✒➩②Ð❇➫❴➩➭➺❅➦❋➪➭➧①Ð❇➧✚➦❋➧▲➨❋✃✱➫❴➩②➥➠➩➻➦❥❮✦➨③➯➻✃á➲✚➯➠✃❐➶➭➵❴➧✚❒☛➦❋➯✗❰r➤②➥❭➦❋➧▲➨❋➩➭➫❴➯➠➩➭➫➳➲➅✃✟➥❭➦❋➨③➫➳➲✚➧✺➾ ➪②➥➻➾✎➼✳➧▲➧✒➩✶➲✚➯➻➩②➾③➫❴Ð❇➧✒➨③➧✺Ðâ➫❴➩ã➦③➪②➧Ó➶➭➪❀➹❇➾③➫❴➲✒➥■➵✌➵⑧➫⑧➦③➧✒➨❋➥■➦③➤➭➨❋➧✿➘ä■➷⑧➬✮➘Ô❖➷⑤Õ à ➪➭➧Ó➶✳➯➻➾❋➾③➫⑧➼➭➫❴➵❴➫➍➦❉➹å➯■❮✱➾❝➤②➲❏➪✶➥■➩ ➧✚❒❀➦❋➧▲➩②➾③➫⑧➯➻➩☎➚❣➥➻➾Ö➲▲➯➠➩r➦③➧✒✃✱➶②➵❴➥■➦③➧✒ÐØ➼❀➹Ùæ❣➥❖➹❀➵⑧➧✒➹➉➘⑧➴✒ç❖➷⑤➱✳➚❳➫➍➦❋➪➭➯➠➤❇➦✌✃➸➤②➲❏➪Ó➾❝➤②➲✒➲✚➧✺➾③➾✒➱❜➥➻➾❅➧✒➥➠➨③➵❴➹Ø➥➠➾✂➴✺Û■ä❀➮❇Õ

è

➲▲➥■➩②➯➠➩➭➫➳➲▲➥➠➵❥Ð❇➧▲➦③➧▲➨❋✃❐➫⑧➩❜➥■➩r➦Ö❮✦➤➭➩❜➲❵➦③➫❴➯➠➩❜➥■➵✻➚❣➥➻➾❅➫❴➩➻➦❋➨③➯❇Ð❇➤❜➲✚➧✒ÐÙ➼r➹Ùér➦❋➤②Ð❇➹ê➘⑧➴▲ä❭➷❂➥■➩❜Ð☎➫➍➦❏➾✌➶➭➨③➯➻➶❜➧✒➨❝➦❋➫⑧➧✺➾ ➥❭❒❇➫❴➯➠✃✟➥❭➦❋➫⑧ë✒➧✒Ð☛➼❀➹⑦ìÖ➫❴➧▲➤❜Ð❇➯➠➩➭➩①í➧✗➘⑧➴✺➮✺➷⑤Õ

à

➪②➧❣Ð❇➧▲➦❋➥➠➫⑧➵➳➾❥➲✒➥■➩⑦➼✳➧④❮✦➯➻➤➭➩②Ð⑦➫❴➩✂➦❋➪➭➧❣➧✚❒➭➲✚➧✒➵⑧➵❴➧▲➩r➦❥➾③➤➭➨❋×➠➧▲➹✌➶②➥➠➶❜➧✒➨ ➯■❮

è

➾❝➵➳➥■î❇➾③➧▲➩ê➘⑧➴✒Ô❖➷⑤Õ❅ér➦③➤②Ð➭➹✳ï➾✌Ð❇➧✚➦❋➧▲➨❋✃✱➫❴➩②➥➠➩➻➦✗➫❴➾✗Ð❇➧▲➩➭➯➠➦③➧✺Ð☎➥➠➾✗é➭Ð❇➧✚➦✺➱✳➥➠➩②Ð❁➱②➤②➶☎➦③➯✎➥✟➦③➨❋➫⑧×❀➫➳➥■➵✪➶✳➯❭➚❧➧✒➨ ❮♣➥➠➲✚➦③➯➻➨✒➱■➫➳➾❂➫➳Ð❇➧▲➩r➦❋➫❴➲✒➥■➵❀➦③➯☛➦❋➪➭➧❅ð✺Ò❘Ð❇➧✚➦❋➧▲➨❋✃✱➫❴➩②➥➠➩➻➦✺➱➠Ð❇➧▲➦❵ñ❖➱➠❮✦➯➠➤➭➩❜Ð✜➫❴➩❐✃❐➯➻➾❝➦➅➯■❮✳➦③➪➭➧❳➵❴➫➍➦❋➧▲➨❏➥❭➦❋➤➭➨③➧⑦➘⑧➴❖Ú✒➷⑤➱➻➥➠➩②Ð ➦③➯✟ì✗➫⑧➧✒➤②Ð❇➯➻➩➭➩①í➧➻ï➾❳Ð❇➧▲➦③➧✒➨③✃❐➫❴➩②➥■➩r➦✒➱❜Ð❇➧▲➩➭➯➠➦③➧✺Ð➽➥➻➾❳ì✗Ð❇➧▲➦✒Õ❧é❇➶❜➧✺➲✚➫⑧Ñ❜➲▲➥➠➵⑧➵❴➹➠➱②Ð➭➧✚➦❏ñ❅òóé❇Ð❇➧▲➦❏ôÖòóì✗Ð➭➧✚➦③õrÕ

ö ➩☎➦❋➪➭➧✒➾③➧✂➚❣➯➠➨❋î❀➾✒➱✳é➭Ð❇➧✚➦✌➚❣➥➻➾❅➲✚➯➻➩②➾❝➫➳Ð❇➧✒➨③➧✺Ð☎➥➠➾Ö➥➽÷➻ø▲ù✳ø▲ú③û❭ü➍ý⑧þ✒û■ÿ❱ý✁■ù➽➯➠❮❂➦③➪➭➧✱Ð❇➧✚➦❋➧▲➨❋✃❐➫⑧➩②➥➠➩r➦✒➱❜Ð➭➧✚➦❖➱ ➫❴➩❐➦③➪➭➧Ö➾③➧▲➩❜➾❝➧①➦❋➪②➥❭➦❧➦③➪➭➧❳➦❉➚❣➯☛❮✦➤➭➩②➲✚➦③➫❴➯➠➩②➥➠➵❴➾④➾❝➪②➥➠➨③➧❅➥⑦➲▲➯➠✃❐✃❐➯➠➩✓➾③➧✚➦④➯➠❮✮➥■❒❇➫⑧➯➻✃❐➾✒Õ❂é❀➶❜➧✺➲✚➫⑧Ñ❜➲▲➥➠➵⑧➵❴➹➠➱❀é❇Ð❇➧▲➦ ➫➳➾✱➦③➪➭➧Ø➤➭➩➭➫➳❰r➤➭➧➠➱❧➤➭➶✿➦③➯ ➥ ➦❋➨③➫❴×❀➫❴➥➠➵①➶❜➯❭➚❣➧▲➨✜❮♣➥➠➲✚➦③➯➠➨✺➱❂❮✦➤➭➩❜➲❵➦③➫❴➯➠➩❜➥■➵✄✂✆☎✞✝✠✟☛✡☞✟ ➦❋➪②➥❭➦✓➾❋➥❭➦❋➫❴➾❝Ñ②➧✒➾✜➦❋➪➭➧ ❮✦➯➠➵❴➵❴➯❭➚❳➫⑧➩➭➺✱➦❋➪➭➨③➧✒➧⑦➥❭❒❇➫⑧➯➻✃✟➾✌➘⑧➴✒Ô■➷✌☎

➴➠Õ✍✂✏✎✁✑✓✒❧òâÝ❐➫⑧❮✬➥➠➩②Ð✎➯➻➩➭➵❴➹✓➫➍❮✔✑✽➫➳➾❅➾❝➫❴➩➭➺➻➤➭➵❴➥➠➨✖✕ Þ❇Õ✍✂✏✎✁✑✘✗✙✒④ò✚✂✛✎✜✑✓✒✢✂✏✎✁✗✙✒✣✎✦✃✜➤➭➵⑧➦③➫❴➶➭➵⑧➫➳➲▲➥■➦③➫❴×❀➫➍➦❉➹✤✒✥✕ ç➭Õ✍✂✏✎✁✦★✧✪✩✬✫✮✭✰✯✱✒④ò✽➴✌❮✦➯➻➨✄✲✮✳ò✵✴✟➥■➩②Ð✛✩✙✶✷✝✟Õ

➯❭➚❣➧▲×➻➧▲➨✺➱①é➭Ð❇➧✚➦✺✹✻✒ø✽✼Ùù☛■ÿ✜ÿ❙ú✥✾❇ü✰✿ ø❁❀➻ÿ⑤ø▲ù☛✹☎Ð➭➧✚➦✒Õ

ö

➩②Ð➭➧▲➧✒Ð✪➱①➦③➪➭➧☎➦❉➚❣➯ ❮✦➤➭➩②➲✚➦③➫❴➯➠➩②➥➠➵❴➾➽Ð❇➯ê➩➭➯➠➦ ➲✚➯➻➫⑧➩❜➲✚➫➳Ð❇➧❅➯➠➩✟➲▲➯➠✃❐➶➭➵❴➧✚❒❐✃❐➥■➦③➨❋➫❴➲▲➧✒➾✒➱➠➾③➫⑧➩②➲▲➧❳➦③➪②➧❳❮✦➯➠➨❋✃❐➧▲➨➅➫➳➾➅➩➭➯➻➩➭➩➭➧✒➺➻➥❭➦❋➫⑧×➻➧❳➚❳➪➭➫❴➵⑧➧❳➦❋➪➭➧❅➵➳➥❭➦③➦③➧▲➨④➫❴➾➅➦③➨❋➤➭➵⑧➹ ➲✚➯➻✃❐➶➭➵⑧➧▲❒❁Õ

ö

➩ê➦❋➪➭➫❴➾❐➶❜➥■➶✳➧▲➨❐➚❧➧✡➾❝➪②➯❭➚ ➦③➪②➥■➦✟é➭Ð❇➧✚➦❂✹❃✺ø✽✼☎ø❁❀➻ÿ⑤ø▲ù☛✹Óÿ❅❄➭øØù❆❭ù②ù✮ø⑤÷➻û■ÿ❱ý❈❇❭ø✣❉❊✾❇ù☛❋▲ÿ❙ý✁❭ù✳û■ü

Ð❇➧✚➦

➱✮➩②➥➠✃✱➧✒➵⑧➹➻➱②➦❋➪➭➧✜➦❉➚❧➯✟❮✦➤②➩②➲❵➦❋➫⑧➯➻➩②➥■➵➳➾Ö➲▲➯➠➫❴➩②➲✚➫➳Ð❇➧✂❮✦➯➻➨✗➲▲➯➠✃❐➶➭➵❴➧✚❒☎✃✟➥❭➦③➨❋➫➳➲✚➧✒➾✒Õ✘❍☎➯➻➨③➧➸➶➭➨③➧✺➲✚➫➳➾❝➧✒➵⑧➹➻➱②➚❣➧ ➾③➪➭➯❭➚ã➦❋➪➭➧☛❮✦➯➠➵❴➵⑧➯❭➚❳➫❴➩➭➺■☎

➴➠Õ à ➪➭➧✒➨③➧✌➧✚❒❇➫➳➾❉➦❏➾①➩➭➯✜✃✜➤➭➵⑧➦③➫❴➶➭➵⑧➫➳➲▲➥■➦③➫❴×➠➧✌❮✦➤➭➩②➲✚➦③➫❴➯➠➩②➥➠➵❁➯➠➩✡❰➻➤❜➥❭➦③➧✒➨③➩②➫⑧➯➻➩➭➫❴➲✗✃✟➥❭➦❋➨③➫➳➲✚➧✺➾④➦❋➪②➥❭➦❅➲▲➯➠➫❴➩❇Ò ➲✚➫➳Ð❇➧✺➾①➚❳➫➍➦❋➪ÙÐ❇➧✚➦❳➯➠➩☎➲▲➯➠✃❐➶➭➵❴➧✚❒✎✃✟➥❭➦❋➨③➫➳➲✚➧✺➾▲Õ

❏ ✥✤◆❉❛❉◆❉❲❑✚◆❝P❅✐✚s①◗❱▼❖◆✻◆❉P❖❲◗❱❫❵❚❙❤✮❫❵❨ ➑➔✞▲❵♠❖❡s ➑➔❵➔❵➔✺♥②✹❥❛❝❛❉◆❉❞✺◗❱◆❉PÖ❪⑧❫❵❚✳❞❖♠✺✐❖❡❩❲❩❛❝❬❋◗❙❲❩❫❵❨❅❫❵❨ ➑➓➅✹✻♠❖⑨❵♠❖❤♣◗◆▼❵➓❵➓❵➓✺♥✳✫✻❬❏❨❖P✺❡❩❲❩❨❖⑨ ✭✳P✺❲◗❙❫❵❚P❖✮✵✚◗❙◆❉❞❖▼❖◆❉❨✠▲❖♥✬◗✬❲❩❚✜❘✒❡t❬❏❨✺Pr♥

✯✼✻◆❉❞❭❬❏❚❱◗❱❯❳◆❉❨▲◗❅❫❏❪➅✹❥❞❖❞❖❡❩❲❩◆❉P✡➆⑦❬❋◗❱▼❖◆❉❯❅❬❋◗❱❲❩❛❝❤❝q✪✣✦➆☛✭❁✧✪✧✻q❆❙✤❨❖❲❑✚◆❉❚❙❤❱❲◗♦s✓❫❏❪❧✧✪❬❏❯❳❞✺❲❩❨❭❬❏❤③q❁✧◆❚❱❯❵➓✥❯ ➒ q ➑→❵➓✥❲ ➑✈✦➔✽❳❏➓ ✧❁❬❏❯❳❞❖❲❩❨❭❬❏❤★❨➳✵✖❚❆❩✍❬✮❚⑤❬❏⑥❉❲❩❡✔❨❴❨❖❲❩❚❪❭✻❲❩❯❳◆❵♥♠❖❨❖❲❩❛❝❬❏❯❳❞r♥✐❖❚❝q❜P✺◆❝❡❩◆❉❫❫❭✻❲❩❯❳◆❵♥♠❖❨❖❲❩❛❝❬❏❯❳❞r♥✐✺❚✢❩⑤♥✓✷✤▼✺◆☛❬❏♠✺◗❱▼❖❫❵❚❙❤❳✇❁◆❉❚❱◆✌❞❭❬❏❚♣◗❙❲t❬❏❡❩❡s ❤❙♠✺❞❖❞■❫❵❚❱◗❱◆❝P✓✐✚s✎✧❁✢❴❚❜❦❐⑨❵❚⑤❬❏❨✚◗❅→❵➓❵➓❵➓

➔✽❵❏➔✥❯❋✈✦→❛❨➳✢✤❲❩❚❅✧✮❫❵▼❖◆❉❨❜❩①❬❏❨❖P✓✸✺✹❴❚✳✭❁✵❫❚ ⑨❵❚⑤❬❏❨✚◗❅➔❵➔✽❵❏➓❵➔❵➓❵➓✥❲❋✈

❨➳✵▲◗❱◆❘❪➳❬❏❨❖❫✱✼✻◆ ✾❀◆❉❫❫❩⑤♥

(2)
(3)
(4)
(5)
(6)
(7)
(8)
(9)
(10)
(11)

ELA

❚②♥❀➆✱♥❇✧✮❫❵▼❖❨➻♥✗✷✪▼❖◆❳❤❱❲❩❯❳❲❩❡t❬❏❚❙❲◗♦s✌❚❙◆❉P❖♠❖❛❘◗❱❲❩❫❵❨❐❫❏❪✪❯❅❬❋◗❙❚❱❲❩❛❉◆❝❤➅❫P❑✚◆❝❚④❬✌❤✜❘❵◆❘✇✺➦❭◆❉❡❩Pr♥

(12)

ELA

✷✤▼✺◆ ➄ ♠❭❬❋◗❙◆❉❚❱❨❖❲❩❫❵❨❖❲❩❛➅✼✻◆❘◗❱◆❝❚❱❯❳❲❩❨❭❬❏❨✚◗

➴➻➴➠➴ ➶❁❸❫➑●➈

❾❶❺⑧❷➞➂✵❽✩❻⑤⑩✝➒●➈➍➼➻❼❹❻❝❻♦➈✪❽

q ➒ ▼♠❖▼ ➒ →✏➉✖▼✥❯❵➓✺q ➑ ➔✣➋✚➔✺♥

→✣➋ ⑩ ▲❖♥❖✾✳♥✱❬✮❚❙◆❉❨❖❨❖◆❉❚③♥❜➆⑦❬❋◗❱❚❙❲❩❛❉◆❉❤❥❫❏❪➭❦▲♠❭❬❋◗❱◆❉❚❙❨❖❲❩❫❵❨❖❤❝♥ ➏✪⑩✝❻✏❺➱❑❻

➈❃➆➸⑩❵❻✱➂➎➈

q ➑ ❖→✥▼❵➔✏➉✒→❵→ ➒ q ➑ ➔ ➒✺➑ ♥ ⑨→ ➒↔⑩ ✥➅♥❜✹❧♥✮✫❥❫❵❚❱❨✡❬❏❨❖P✡✧✻♥❁✥❂♥◆▲❵❫❵▼❖❨❖❤❱❫❵❨r♥

➨■❸❶➀➽❺✱❻③❷☞❺✱➄❯➆✂⑩✚❻✙❾❶❺➭➡✜❽➠➄■⑩✚❹➑❵❷❹❺➍❷

♥Ó✧❁❬❏❯❣✐❖❚❱❲❩P❖⑨❵◆✣❙❥❨✺❲❑✚◆❝❚❱❤❙❲◗♦s❛❚❜❚❙◆❉❤❙❤❝q ✧❁❬❏❯❧✐❖❚❙❲❩P❖⑨❵◆❵q

➔❵➔✣➋❖♥

→✥❯

✸❁♥

♠❖❚❙❤❱◆❉s⑦❬❏❨❖P✜✧✬♥➠✫➅♥➠✷✤⑥❉◆❵♥

➜❉➄➸❻✱➂✺❼✖➶✪❸❵❹❼Ö❸➞➤

❺⑧❽✏❺⑧❷✾❺❴❸❫➄➔➝

❸✝❾✆➒✚⑩❫➄✓⑩❫➄➁➒✘➶✪❼③❹⑩❵❻♦❼❹➒♣❽✻❹❸✚❼❏❶❿❾❱⑩❵❷➫❺✱➄t➏✤⑩❫❾❘❻➳❺✱❻③❹❼ ➏❑➂❋➑❵❷❹❺✙❻❝❷

Referensi

Dokumen terkait

Electronic Journal of Linear Algebra ISSN 1081-3810 A publication of the International Linear Algebra Society Volume

Electronic Journal of Linear Algebra ISSN 1081-3810 A publication of the International Linear Algebra Society Volume

Electronic Journal of Linear Algebra ISSN 1081-3810 A publication of the International Linear Algebra Society Volume

Electronic Journal of Linear Algebra ISSN 1081-3810 A publication of the International Linear Algebra Society Volume

A publication of the International Linear

A publication of the International Linear

The Electronic Journal of Linear Algebra ISSN 1081-3810 A publication of the International Linear Algebra Society Volume

Electronic Journal of Linear Algebra ISSN 1081-3810 A publication of the International Linear Algebra Society Volume 17, pp.. Combinatorial matrix classes