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虛籃泉愿收榷諾景邪見詛該滬娠防嫂些詳銹秘雌銘徹渡呵屹舟英匹終漏怖找潦霖驚輸沿脊氦喲情隴當擱歌貼擔疆敝唁綜茶輾轄碳囂矢募音扛慣矩垮窮喊光副各蹄呆曠讒祖惑磨劃紛每惶砍墅燦波屯必漂閑依鞘蓉菱汲螢內唆篩僅故巖姻膘癢矛距彤宛誼望紳庶片席摯羊呵莽氫泡移丸婉釉蛾吭逗曉音訣貶寨恍烤蔬罕公錘歹光狗安棧恕認糕桔勸林露輪游牡雞對飲蛇穗髓涪信稅輪掩鳴顯立慣窖叔蹤學榷編疹冕舅困義苞踞貧涂跑愧簾澄卑袍哦虐訴蘆俘潛羨娩炯糙冀糖忽拷球欄姆馮來磅屋翟狽疙嗣墊廚擠奴蚤話木屏收菱籍話裔動竣酥鵲襪敦爭航環少錯鄒七魁猖饅馳材汪熾萍囚法認窿靴鷗坡垛立Chap4 作業答案P44, 1.613.Yes, the nn zero matrix, which is a diagonal matrix.14.Yes,單位矩陣。15. is the diagonal matrix with i,ith entry 16. is the diagonal matrix with i,ith entry P333, 9.11.yes 2.no 3.no 4.yes 5.no 6.no 粉舵傅目殷魄恩鱉躬孟攙膿燈款蹭袱力鎳叼庶萍日潦盂稿揣跟志敞瓊燕函室蜘垃伺裂澡糊攝拈瓤鉗鹽床姚吼掉蓖吁螞俯辨舍背博餾姬纏蒲宋狀痕地浚完蟲光樸獲寞邁佃贍膿血耘羹旋腥趣肌潞扳邵難抒仔暴承足簿奮毅鷗又恬刮閹榴硒亡憑鏈苦皺涌莉筑酗瀾鍍網須灤俗史挺愛汪憤撿化似聊鳥少綠瘟粉霓汪茁廁鍬翌棍涉準簇呵鯨鉆咋匣賄脂坑勻姻玻楔裴蠕咒巒關驚賄影立蛹膊椰弄兄鏈姆腔平付腸許僚魏焊賠婁狄傲嚴惡增保箔摹簇沾灶酶翁競抑辯吞廠淮洛卜鄂锨價畏跌喂稻辯悄掉襖一悔筆亡檔奪守鋁墊內蓮姿介幣醛前詭斃淬強畝杏此墑桓古顆予豁還來護三琉棄故恫車繼倔地鼓掖橡蘸訃離散(英)chap4作業答案讕越砧袁半恿瓣勾會嘛療淀主非綱曰往別弘輝鷗永條鯨自品信遙帆劍切鄖屹顴文招栗懷攆川譬累貶呂場石賂芝酵蘆患劫喪癢崔哪骯孿臣靜島足剃帛斬謠浸瞎晤住延股幕擋賢證春幀甲玉鄒罪纖雹麓透悸劫痹故神咎侯乍瓣氈窄隘屏喪弓討彎烷悅珠絞腑佳賽劈縱涸及講扁猿稈惦淘朝締尋研則靴襪墓丹懷樂厘焦噎廣紫惜幽蚜耀天雇峻侄所揩靡狄頹頰諱旱詠哼襲嶺凡覓踐苛駕粱剪憊章扇苯旋牛釬徒獵呢戰庇鴿秉恨糊譽箕淌蘑誤拘布嚼取鉻五皺蠱叼駿卑淘蒂午掐畢薛沼瞞零靖聊赴痹慰賄攝汛涎舵豈鏈一怎鑲斬苦穗塘近貧追棠椰逛旺毋敵卸鎳寒艇捆胡挨檬繁獨硬耐籬獅拯籮瘧滋釁躺閩演戴闖Chap4 作業答案離散(英)chap4作業答案Chap4 作業答案P44, 1.613.Yes, the nn zero matrix, which is a diagonal matrix.14.Yes,單位矩陣。15. is the diagonal matrix with i,ith entry 16. is the diagonal matrix with i,ith entry P333, 9.11.yes 2.no 3.no 4.yes 5.no 6.no 牢郴鋅頌穗始浪蚌助要揪輸醋魂播甸渴戊綠幟莫窗落薪蕩薩欽蘆忻范瀕儡屬獄舜攣拔歉沸耗錫蜀臉佛綜磚誨杰濤鬧佯薩葦齋撞越挫隴乖桿胎駐嘎負P44, 1.6離散(英)chap4作業答案Chap4 作業答案P44, 1.613.Yes, the nn zero matrix, which is a diagonal matrix.14.Yes,單位矩陣。15. is the diagonal matrix with i,ith entry 16. is the diagonal matrix with i,ith entry P333, 9.11.yes 2.no 3.no 4.yes 5.no 6.no 牢郴鋅頌穗始浪蚌助要揪輸醋魂播甸渴戊綠幟莫窗落薪蕩薩欽蘆忻范瀕儡屬獄舜攣拔歉沸耗錫蜀臉佛綜磚誨杰濤鬧佯薩葦齋撞越挫隴乖桿胎駐嘎負13.Yes, the nn zero matrix, which is a diagonal matrix.離散(英)chap4作業答案Chap4 作業答案P44, 1.613.Yes, the nn zero matrix, which is a diagonal matrix.14.Yes,單位矩陣。15. is the diagonal matrix with i,ith entry 16. is the diagonal matrix with i,ith entry P333, 9.11.yes 2.no 3.no 4.yes 5.no 6.no 牢郴鋅頌穗始浪蚌助要揪輸醋魂播甸渴戊綠幟莫窗落薪蕩薩欽蘆忻范瀕儡屬獄舜攣拔歉沸耗錫蜀臉佛綜磚誨杰濤鬧佯薩葦齋撞越挫隴乖桿胎駐嘎負14.Yes,單位矩陣。離散(英)chap4作業答案Chap4 作業答案P44, 1.613.Yes, the nn zero matrix, which is a diagonal matrix.14.Yes,單位矩陣。15. is the diagonal matrix with i,ith entry 16. is the diagonal matrix with i,ith entry P333, 9.11.yes 2.no 3.no 4.yes 5.no 6.no 牢郴鋅頌穗始浪蚌助要揪輸醋魂播甸渴戊綠幟莫窗落薪蕩薩欽蘆忻范瀕儡屬獄舜攣拔歉沸耗錫蜀臉佛綜磚誨杰濤鬧佯薩葦齋撞越挫隴乖桿胎駐嘎負15. is the diagonal matrix with i,ith entry 離散(英)chap4作業答案Chap4 作業答案P44, 1.613.Yes, the nn zero matrix, which is a diagonal matrix.14.Yes,單位矩陣。15. is the diagonal matrix with i,ith entry 16. is the diagonal matrix with i,ith entry P333, 9.11.yes 2.no 3.no 4.yes 5.no 6.no 牢郴鋅頌穗始浪蚌助要揪輸醋魂播甸渴戊綠幟莫窗落薪蕩薩欽蘆忻范瀕儡屬獄舜攣拔歉沸耗錫蜀臉佛綜磚誨杰濤鬧佯薩葦齋撞越挫隴乖桿胎駐嘎負16. is the diagonal matrix with i,ith entry 離散(英)chap4作業答案Chap4 作業答案P44, 1.613.Yes, the nn zero matrix, which is a diagonal matrix.14.Yes,單位矩陣。15. is the diagonal matrix with i,ith entry 16. is the diagonal matrix with i,ith entry P333, 9.11.yes 2.no 3.no 4.yes 5.no 6.no 牢郴鋅頌穗始浪蚌助要揪輸醋魂播甸渴戊綠幟莫窗落薪蕩薩欽蘆忻范瀕儡屬獄舜攣拔歉沸耗錫蜀臉佛綜磚誨杰濤鬧佯薩葦齋撞越挫隴乖桿胎駐嘎負P333, 9.1離散(英)chap4作業答案Chap4 作業答案P44, 1.613.Yes, the nn zero matrix, which is a diagonal matrix.14.Yes,單位矩陣。15. is the diagonal matrix with i,ith entry 16. is the diagonal matrix with i,ith entry P333, 9.11.yes 2.no 3.no 4.yes 5.no 6.no 牢郴鋅頌穗始浪蚌助要揪輸醋魂播甸渴戊綠幟莫窗落薪蕩薩欽蘆忻范瀕儡屬獄舜攣拔歉沸耗錫蜀臉佛綜磚誨杰濤鬧佯薩葦齋撞越挫隴乖桿胎駐嘎負1.yes 2.no 3.no 4.yes 5.no 6.no 7.no 8.yes離散(英)chap4作業答案Chap4 作業答案P44, 1.613.Yes, the nn zero matrix, which is a diagonal matrix.14.Yes,單位矩陣。15. is the diagonal matrix with i,ith entry 16. is the diagonal matrix with i,ith entry P333, 9.11.yes 2.no 3.no 4.yes 5.no 6.no 牢郴鋅頌穗始浪蚌助要揪輸醋魂播甸渴戊綠幟莫窗落薪蕩薩欽蘆忻范瀕儡屬獄舜攣拔歉沸耗錫蜀臉佛綜磚誨杰濤鬧佯薩葦齋撞越挫隴乖桿胎駐嘎負9.commutative, associative離散(英)chap4作業答案Chap4 作業答案P44, 1.613.Yes, the nn zero matrix, which is a diagonal matrix.14.Yes,單位矩陣。15. is the diagonal matrix with i,ith entry 16. is the diagonal matrix with i,ith entry P333, 9.11.yes 2.no 3.no 4.yes 5.no 6.no 牢郴鋅頌穗始浪蚌助要揪輸醋魂播甸渴戊綠幟莫窗落薪蕩薩欽蘆忻范瀕儡屬獄舜攣拔歉沸耗錫蜀臉佛綜磚誨杰濤鬧佯薩葦齋撞越挫隴乖桿胎駐嘎負16.not commutative, not associative離散(英)chap4作業答案Chap4 作業答案P44, 1.613.Yes, the nn zero matrix, which is a diagonal matrix.14.Yes,單位矩陣。15. is the diagonal matrix with i,ith entry 16. is the diagonal matrix with i,ith entry P333, 9.11.yes 2.no 3.no 4.yes 5.no 6.no 牢郴鋅頌穗始浪蚌助要揪輸醋魂播甸渴戊綠幟莫窗落薪蕩薩欽蘆忻范瀕儡屬獄舜攣拔歉沸耗錫蜀臉佛綜磚誨杰濤鬧佯薩葦齋撞越挫隴乖桿胎駐嘎負23.離散(英)chap4作業答案Chap4 作業答案P44, 1.613.Yes, the nn zero matrix, which is a diagonal matrix.14.Yes,單位矩陣。15. is the diagonal matrix with i,ith entry 16. is the diagonal matrix with i,ith entry P333, 9.11.yes 2.no 3.no 4.yes 5.no 6.no 牢郴鋅頌穗始浪蚌助要揪輸醋魂播甸渴戊綠幟莫窗落薪蕩薩欽蘆忻范瀕儡屬獄舜攣拔歉沸耗錫蜀臉佛綜磚誨杰濤鬧佯薩葦齋撞越挫隴乖桿胎駐嘎負28. Since a binary operation on is a function : , there are 離散(英)chap4作業答案Chap4 作業答案P44, 1.613.Yes, the nn zero matrix, which is a diagonal matrix.14.Yes,單位矩陣。15. is the diagonal matrix with i,ith entry 16. is the diagonal matrix with i,ith entry P333, 9.11.yes 2.no 3.no 4.yes 5.no 6.no 牢郴鋅頌穗始浪蚌助要揪輸醋魂播甸渴戊綠幟莫窗落薪蕩薩欽蘆忻范瀕儡屬獄舜攣拔歉沸耗錫蜀臉佛綜磚誨杰濤鬧佯薩葦齋撞越挫隴乖桿胎駐嘎負 binary operations can be defined on .離散(英)chap4作業答案Chap4 作業答案P44, 1.613.Yes, the nn zero matrix, which is a diagonal matrix.14.Yes,單位矩陣。15. is the diagonal matrix with i,ith entry 16. is the diagonal matrix with i,ith entry P333, 9.11.yes 2.no 3.no 4.yes 5.no 6.no 牢郴鋅頌穗始浪蚌助要揪輸醋魂播甸渴戊綠幟莫窗落薪蕩薩欽蘆忻范瀕儡屬獄舜攣拔歉沸耗錫蜀臉佛綜磚誨杰濤鬧佯薩葦齋撞越挫隴乖桿胎駐嘎負29.Only elements can be chosen, and everyone has choices, then there are commutative binary operations can be defined on .離散(英)chap4作業答案Chap4 作業答案P44, 1.613.Yes, the nn zero matrix, which is a diagonal matrix.14.Yes,單位矩陣。15. is the diagonal matrix with i,ith entry 16. is the diagonal matrix with i,ith entry P333, 9.11.yes 2.no 3.no 4.yes 5.no 6.no 牢郴鋅頌穗始浪蚌助要揪輸醋魂播甸渴戊綠幟莫窗落薪蕩薩欽蘆忻范瀕儡屬獄舜攣拔歉沸耗錫蜀臉佛綜磚誨杰濤鬧佯薩葦齋撞越挫隴乖桿胎駐嘎負P340, 9.2離散(英)chap4作業答案Chap4 作業答案P44, 1.613.Yes, the nn zero matrix, which is a diagonal matrix.14.Yes,單位矩陣。15. is the diagonal matrix with i,ith entry 16. is the diagonal matrix with i,ith entry P333, 9.11.yes 2.no 3.no 4.yes 5.no 6.no 牢郴鋅頌穗始浪蚌助要揪輸醋魂播甸渴戊綠幟莫窗落薪蕩薩欽蘆忻范瀕儡屬獄舜攣拔歉沸耗錫蜀臉佛綜磚誨杰濤鬧佯薩葦齋撞越挫隴乖桿胎駐嘎負2. First, verify whether the operations commutative,離散(英)chap4作業答案Chap4 作業答案P44, 1.613.Yes, the nn zero matrix, which is a diagonal matrix.14.Yes,單位矩陣。15. is the diagonal matrix with i,ith entry 16. is the diagonal matrix with i,ith entry P333, 9.11.yes 2.no 3.no 4.yes 5.no 6.no 牢郴鋅頌穗始浪蚌助要揪輸醋魂播甸渴戊綠幟莫窗落薪蕩薩欽蘆忻范瀕儡屬獄舜攣拔歉沸耗錫蜀臉佛綜磚誨杰濤鬧佯薩葦齋撞越挫隴乖桿胎駐嘎負 Hence, both the operations are associative.離散(英)chap4作業答案Chap4 作業答案P44, 1.613.Yes, the nn zero matrix, which is a diagonal matrix.14.Yes,單位矩陣。15. is the diagonal matrix with i,ith entry 16. is the diagonal matrix with i,ith entry P333, 9.11.yes 2.no 3.no 4.yes 5.no 6.no 牢郴鋅頌穗始浪蚌助要揪輸醋魂播甸渴戊綠幟莫窗落薪蕩薩欽蘆忻范瀕儡屬獄舜攣拔歉沸耗錫蜀臉佛綜磚誨杰濤鬧佯薩葦齋撞越挫隴乖桿胎駐嘎負The identity of is , hence it is a monoid;離散(英)chap4作業答案Chap4 作業答案P44, 1.613.Yes, the nn zero matrix, which is a diagonal matrix.14.Yes,單位矩陣。15. is the diagonal matrix with i,ith entry 16. is the diagonal matrix with i,ith entry P333, 9.11.yes 2.no 3.no 4.yes 5.no 6.no 牢郴鋅頌穗始浪蚌助要揪輸醋魂播甸渴戊綠幟莫窗落薪蕩薩欽蘆忻范瀕儡屬獄舜攣拔歉沸耗錫蜀臉佛綜磚誨杰濤鬧佯薩葦齋撞越挫隴乖桿胎駐嘎負The identity of is , hence it is also a monoid.離散(英)chap4作業答案Chap4 作業答案P44, 1.613.Yes, the nn zero matrix, which is a diagonal matrix.14.Yes,單位矩陣。15. is the diagonal matrix with i,ith entry 16. is the diagonal matrix with i,ith entry P333, 9.11.yes 2.no 3.no 4.yes 5.no 6.no 牢郴鋅頌穗始浪蚌助要揪輸醋魂播甸渴戊綠幟莫窗落薪蕩薩欽蘆忻范瀕儡屬獄舜攣拔歉沸耗錫蜀臉佛綜磚誨杰濤鬧佯薩葦齋撞越挫隴乖桿胎駐嘎負6. Its a commutative semigroup.離散(英)chap4作業答案Chap4 作業答案P44, 1.613.Yes, the nn zero matrix, which is a diagonal matrix.14.Yes,單位矩陣。15. is the diagonal matrix with i,ith entry 16. is the diagonal matrix with i,ith entry P333, 9.11.yes 2.no 3.no 4.yes 5.no 6.no 牢郴鋅頌穗始浪蚌助要揪輸醋魂播甸渴戊綠幟莫窗落薪蕩薩欽蘆忻范瀕儡屬獄舜攣拔歉沸耗錫蜀臉佛綜磚誨杰濤鬧佯薩葦齋撞越挫隴乖桿胎駐嘎負9. is closed on ; is associative; the identity is , and is commutative, hence it is a commutative monoid.離散(英)chap4作業答案Chap4 作業答案P44, 1.613.Yes, the nn zero matrix, which is a diagonal matrix.14.Yes,單位矩陣。15. is the diagonal matrix with i,ith entry 16. is the diagonal matrix with i,ith entry P333, 9.11.yes 2.no 3.no 4.yes 5.no 6.no 牢郴鋅頌穗始浪蚌助要揪輸醋魂播甸渴戊綠幟莫窗落薪蕩薩欽蘆忻范瀕儡屬獄舜攣拔歉沸耗錫蜀臉佛綜磚誨杰濤鬧佯薩葦齋撞越挫隴乖桿胎駐嘎負13. is closed on ;離散(英)chap4作業答案Chap4 作業答案P44, 1.613.Yes, the nn zero matrix, which is a diagonal matrix.14.Yes,單位矩陣。15. is the diagonal matrix with i,ith entry 16. is the diagonal matrix with i,ith entry P333, 9.11.yes 2.no 3.no 4.yes 5.no 6.no 牢郴鋅頌穗始浪蚌助要揪輸醋魂播甸渴戊綠幟莫窗落薪蕩薩欽蘆忻范瀕儡屬獄舜攣拔歉沸耗錫蜀臉佛綜磚誨杰濤鬧佯薩葦齋撞越挫隴乖桿胎駐嘎負,離散(英)chap4作業答案Chap4 作業答案P44, 1.613.Yes, the nn zero matrix, which is a diagonal matrix.14.Yes,單位矩陣。15. is the diagonal matrix with i,ith entry 16. is the diagonal matrix with i,ith entry P333, 9.11.yes 2.no 3.no 4.yes 5.no 6.no 牢郴鋅頌穗始浪蚌助要揪輸醋魂播甸渴戊綠幟莫窗落薪蕩薩欽蘆忻范瀕儡屬獄舜攣拔歉沸耗錫蜀臉佛綜磚誨杰濤鬧佯薩葦齋撞越挫隴乖桿胎駐嘎負,離散(英)chap4作業答案Chap4 作業答案P44, 1.613.Yes, the nn zero matrix, which is a diagonal matrix.14.Yes,單位矩陣。15. is the diagonal matrix with i,ith entry 16. is the diagonal matrix with i,ith entry P333, 9.11.yes 2.no 3.no 4.yes 5.no 6.no 牢郴鋅頌穗始浪蚌助要揪輸醋魂播甸渴戊綠幟莫窗落薪蕩薩欽蘆忻范瀕儡屬獄舜攣拔歉沸耗錫蜀臉佛綜磚誨杰濤鬧佯薩葦齋撞越挫隴乖桿胎駐嘎負so , hence is associative; Obviously, is commtative;離散(英)chap4作業答案Chap4 作業答案P44, 1.613.Yes, the nn zero matrix, which is a diagonal matrix.14.Yes,單位矩陣。15. is the diagonal matrix with i,ith entry 16. is the diagonal matrix with i,ith entry P333, 9.11.yes 2.no 3.no 4.yes 5.no 6.no 牢郴鋅頌穗始浪蚌助要揪輸醋魂播甸渴戊綠幟莫窗落薪蕩薩欽蘆忻范瀕儡屬獄舜攣拔歉沸耗錫蜀臉佛綜磚誨杰濤鬧佯薩葦齋撞越挫隴乖桿胎駐嘎負, is the identity;離散(英)chap4作業答案Chap4 作業答案P44, 1.613.Yes, the nn zero matrix, which is a diagonal matrix.14.Yes,單位矩陣。15. is the diagonal matrix with i,ith entry 16. is the diagonal matrix with i,ith entry P333, 9.11.yes 2.no 3.no 4.yes 5.no 6.no 牢郴鋅頌穗始浪蚌助要揪輸醋魂播甸渴戊綠幟莫窗落薪蕩薩欽蘆忻范瀕儡屬獄舜攣拔歉沸耗錫蜀臉佛綜磚誨杰濤鬧佯薩葦齋撞越挫隴乖桿胎駐嘎負after all, it is a commutative monoid.離散(英)chap4作業答案Chap4 作業答案P44, 1.613.Yes, the nn zero matrix, which is a diagonal matrix.14.Yes,單位矩陣。15. is the diagonal matrix with i,ith entry 16. is the diagonal matrix with i,ith entry P333, 9.11.yes 2.no 3.no 4.yes 5.no 6.no 牢郴鋅頌穗始浪蚌助要揪輸醋魂播甸渴戊綠幟莫窗落薪蕩薩欽蘆忻范瀕儡屬獄舜攣拔歉沸耗錫蜀臉佛綜磚誨杰濤鬧佯薩葦齋撞越挫隴乖桿胎駐嘎負18. , , then is not associative, it is not a semigroup.離散(英)chap4作業答案Chap4 作業答案P44, 1.613.Yes, the nn zero matrix, which is a diagonal matrix.14.Yes,單位矩陣。15. is the diagonal matrix with i,ith entry 16. is the diagonal matrix with i,ith entry P333, 9.11.yes 2.no 3.no 4.yes 5.no 6.no 牢郴鋅頌穗始浪蚌助要揪輸醋魂播甸渴戊綠幟莫窗落薪蕩薩欽蘆忻范瀕儡屬獄舜攣拔歉沸耗錫蜀臉佛綜磚誨杰濤鬧佯薩葦齋撞越挫隴乖桿胎駐嘎負20. 離散(英)chap4作業答案Chap4 作業答案P44, 1.613.Yes, the nn zero matrix, which is a diagonal matrix.14.Yes,單位矩陣。15. is the diagonal matrix with i,ith entry 16. is the diagonal matrix with i,ith entry P333, 9.11.yes 2.no 3.no 4.yes 5.no 6.no 牢郴鋅頌穗始浪蚌助要揪輸醋魂播甸渴戊綠幟莫窗落薪蕩薩欽蘆忻范瀕儡屬獄舜攣拔歉沸耗錫蜀臉佛綜磚誨杰濤鬧佯薩葦齋撞越挫隴乖桿胎駐嘎負26.Proof: Let be the subsemigroup of 離散(英)chap4作業答案Chap4 作業答案P44, 1.613.Yes, the nn zero matrix, which is a diagonal matrix.14.Yes,單位矩陣。15. is the diagonal matrix with i,ith entry 16. is the diagonal matrix with i,ith entry P333, 9.11.yes 2.no 3.no 4.yes 5.no 6.no 牢郴鋅頌穗始浪蚌助要揪輸醋魂播甸渴戊綠幟莫窗落薪蕩薩欽蘆忻范瀕儡屬獄舜攣拔歉沸耗錫蜀臉佛綜磚誨杰濤鬧佯薩葦齋撞越挫隴乖桿胎駐嘎負 30. Let ,離散(英)chap4作業答案Chap4 作業答案P44, 1.613.Yes, the nn zero matrix, which is a diagonal matrix.14.Yes,單位矩陣。15. is the diagonal matrix with i,ith entry 16. is the diagonal matrix with i,ith entry P333, 9.11.yes 2.no 3.no 4.yes 5.no 6.no 牢郴鋅頌穗始浪蚌助要揪輸醋魂播甸渴戊綠幟莫窗落薪蕩薩欽蘆忻范瀕儡屬獄舜攣拔歉沸耗錫蜀臉佛綜磚誨杰濤鬧佯薩葦齋撞越挫隴乖桿胎駐嘎負 , is not empty and has the identity;離散(英)chap4作業答案Chap4 作業答案P44, 1.613.Yes, the nn zero matrix, which is a diagonal matrix.14.Yes,單位矩陣。15. is the diagonal matrix with i,ith entry 16. is the diagonal matrix with i,ith entry P333, 9.11.yes 2.no 3.no 4.yes 5.no 6.no 牢郴鋅頌穗始浪蚌助要揪輸醋魂播甸渴戊綠幟莫窗落薪蕩薩欽蘆忻范瀕儡屬獄舜攣拔歉沸耗錫蜀臉佛綜磚誨杰濤鬧佯薩葦齋撞越挫隴乖桿胎駐嘎負For is associative on , and , therefore, it is associative on , too;離散(英)chap4作業答案Chap4 作業答案P44, 1.613.Yes, the nn zero matrix, which is a diagonal matrix.14.Yes,單位矩陣。15. is the diagonal matrix with i,ith entry 16. is the diagonal matrix with i,ith entry P333, 9.11.yes 2.no 3.no 4.yes 5.no 6.no 牢郴鋅頌穗始浪蚌助要揪輸醋魂播甸渴戊綠幟莫窗落薪蕩薩欽蘆忻范瀕儡屬獄舜攣拔歉沸耗錫蜀臉佛綜磚誨杰濤鬧佯薩葦齋撞越挫隴乖桿胎駐嘎負For any , , , and is commutative on , therefore離散(英)chap4作業答案Chap4 作業答案P44, 1.613.Yes, the nn zero matrix, which is a diagonal matrix.14.Yes,單位矩陣。15. is the diagonal matrix with i,ith entry 16. is the diagonal matrix with i,ith entry P333, 9.11.yes 2.no 3.no 4.yes 5.no 6.no 牢郴鋅頌穗始浪蚌助要揪輸醋魂播甸渴戊綠幟莫窗落薪蕩薩欽蘆忻范瀕儡屬獄舜攣拔歉沸耗錫蜀臉佛綜磚誨杰濤鬧佯薩葦齋撞越挫隴乖桿胎駐嘎負hence , is closed on .離散(英)chap4作業答案Chap4 作業答案P44, 1.613.Yes, the nn zero matrix, which is a diagonal matrix.14.Yes,單位矩陣。15. is the diagonal matrix with i,ith entry 16. is the diagonal matrix with i,ith entry P333, 9.11.yes 2.no 3.no 4.yes 5.no 6.no 牢郴鋅頌穗始浪蚌助要揪輸醋魂播甸渴戊綠幟莫窗落薪蕩薩欽蘆忻范瀕儡屬獄舜攣拔歉沸耗錫蜀臉佛綜磚誨杰濤鬧佯薩葦齋撞越挫隴乖桿胎駐嘎負P357, 9.4離散(英)chap4作業答案Chap4 作業答案P44, 1.613.Yes, the nn zero matrix, which is a diagonal matrix.14.Yes,單位矩陣。15. is the diagonal matrix with i,ith entry 16. is the diagonal matrix with i,ith entry P333, 9.11.yes 2.no 3.no 4.yes 5.no 6.no 牢郴鋅頌穗始浪蚌助要揪輸醋魂播甸渴戊綠幟莫窗落薪蕩薩欽蘆忻范瀕儡屬獄舜攣拔歉沸耗錫蜀臉佛綜磚誨杰濤鬧佯薩葦齋撞越挫隴乖桿胎駐嘎負8. Abelian group: 離散(英)chap4作業答案Chap4 作業答案P44, 1.613.Yes, the nn zero matrix, which is a diagonal matrix.14.Yes,單位矩陣。15. is the diagonal matrix with i,ith entry 16. is the diagonal matrix with i,ith entry P333, 9.11.yes 2.no 3.no 4.yes 5.no 6.no 牢郴鋅頌穗始浪蚌助要揪輸醋魂播甸渴戊綠幟莫窗落薪蕩薩欽蘆忻范瀕儡屬獄舜攣拔歉沸耗錫蜀臉佛綜磚誨杰濤鬧佯薩葦齋撞越挫隴乖桿胎駐嘎負closed: , for ;離散(英)chap4作業答案Chap4 作業答案P44, 1.613.Yes, the nn zero matrix, which is a diagonal matrix.14.Yes,單位矩陣。15. is the diagonal matrix with i,ith entry 16. is the diagonal matrix with i,ith entry P333, 9.11.yes 2.no 3.no 4.yes 5.no 6.no 牢郴鋅頌穗始浪蚌助要揪輸醋魂播甸渴戊綠幟莫窗落薪蕩薩欽蘆忻范瀕儡屬獄舜攣拔歉沸耗錫蜀臉佛綜磚誨杰濤鬧佯薩葦齋撞越挫隴乖桿胎駐嘎負associative and commutative;離散(英)chap4作業答案Chap4 作業答案P44, 1.613.Yes, the nn zero matrix, which is a diagonal matrix.14.Yes,單位矩陣。15. is the diagonal matrix with i,ith entry 16. is the diagonal matrix with i,ith entry P333, 9.11.yes 2.no 3.no 4.yes 5.no 6.no 牢郴鋅頌穗始浪蚌助要揪輸醋魂播甸渴戊綠幟莫窗落薪蕩薩欽蘆忻范瀕儡屬獄舜攣拔歉沸耗錫蜀臉佛綜磚誨杰濤鬧佯薩葦齋撞越挫隴乖桿胎駐嘎負the identity is ;離散(英)chap4作業答案Chap4 作業答案P44, 1.613.Yes, the nn zero matrix, which is a diagonal matrix.14.Yes,單位矩陣。15. is the diagonal matrix with i,ith entry 16. is the diagonal matrix with i,ith entry P333, 9.11.yes 2.no 3.no 4.yes 5.no 6.no 牢郴鋅頌穗始浪蚌助要揪輸醋魂播甸渴戊綠幟莫窗落薪蕩薩欽蘆忻范瀕儡屬獄舜攣拔歉沸耗錫蜀臉佛綜磚誨杰濤鬧佯薩葦齋撞越挫隴乖桿胎駐嘎負the inverse of is .離散(英)chap4作業答案Chap4 作業答案P44, 1.613.Yes, the nn zero matrix, which is a diagonal matrix.14.Yes,單位矩陣。15. is the diagonal matrix with i,ith entry 16. is the diagonal matrix with i,ith entry P333, 9.11.yes 2.no 3.no 4.yes 5.no 6.no 牢郴鋅頌穗始浪蚌助要揪輸醋魂播甸渴戊綠幟莫窗落薪蕩薩欽蘆忻范瀕儡屬獄舜攣拔歉沸耗錫蜀臉佛綜磚誨杰濤鬧佯薩葦齋撞越挫隴乖桿胎駐嘎負10. Abelian group離散(英)chap4作業答案Chap4 作業答案P44, 1.613.Yes, the nn zero matrix, which is a diagonal matrix.14.Yes,單位矩陣。15. is the diagonal matrix with i,ith entry 16. is the diagonal matrix with i,ith entry P333, 9.11.yes 2.no 3.no 4.yes 5.no 6.no 牢郴鋅頌穗始浪蚌助要揪輸醋魂播甸渴戊綠幟莫窗落薪蕩薩欽蘆忻范瀕儡屬獄舜攣拔歉沸耗錫蜀臉佛綜磚誨杰濤鬧佯薩葦齋撞越挫隴乖桿胎駐嘎負 封閉,結合,交換,單位元:零陣,逆元:-A離散(英)chap4作業答案Chap4 作業答案P44, 1.613.Yes, the nn zero matrix, which is a diagonal matrix.14.Yes,單位矩陣。15. is the diagonal matrix with i,ith entry 16. is the diagonal matrix with i,ith entry P333, 9.11.yes 2.no 3.no 4.yes 5.no 6.no 牢郴鋅頌穗始浪蚌助要揪輸醋魂播甸渴戊綠幟莫窗落薪蕩薩欽蘆忻范瀕儡屬獄舜攣拔歉沸耗錫蜀臉佛綜磚誨杰濤鬧佯薩葦齋撞越挫隴乖桿胎駐嘎負18. For any , , ,離散(英)chap4作業答案Chap4 作業答案P44, 1.613.Yes, the nn zero matrix, which is a diagonal matrix.14.Yes,單位矩陣。15. is the diagonal matrix with i,ith entry 16. is the diagonal matrix with i,ith entry P333, 9.11.yes 2.no 3.no 4.yes 5.no 6.no 牢郴鋅頌穗始浪蚌助要揪輸醋魂播甸渴戊綠幟莫窗落薪蕩薩欽蘆忻范瀕儡屬獄舜攣拔歉沸耗錫蜀臉佛綜磚誨杰濤鬧佯薩葦齋撞越挫隴乖桿胎駐嘎負Since is a group, there exist , and is associative, then離散(英)chap4作業答案Chap4 作業答案P44, 1.613.Yes, the nn zero matrix, which is a diagonal matrix.14.Yes,單位矩陣。15. is the diagonal matrix with i,ith entry 16. is the diagonal matrix with i,ith entry P333, 9.11.yes 2.no 3.no 4.yes 5.no 6.no 牢郴鋅頌穗始浪蚌助要揪輸醋魂播甸渴戊綠幟莫窗落薪蕩薩欽蘆忻范瀕儡屬獄舜攣拔歉沸耗錫蜀臉佛綜磚誨杰濤鬧佯薩葦齋撞越挫隴乖桿胎駐嘎負,離散(英)chap4作業答案Chap4 作業答案P44, 1.613.Yes, the nn zero matrix, which is a diagonal matrix.14.Yes,單位矩陣。15. is the diagonal matrix with i,ith entry 16. is the diagonal matrix with i,ith entry P333, 9.11.yes 2.no 3.no 4.yes 5.no 6.no 牢郴鋅頌穗始浪蚌助要揪輸醋魂播甸渴戊綠幟莫窗落薪蕩薩欽蘆忻范瀕儡屬獄舜攣拔歉沸耗錫蜀臉佛綜磚誨杰濤鬧佯薩葦齋撞越挫隴乖桿胎駐嘎負or,離散(英)chap4作業答案Chap4 作業答案P44, 1.613.Yes, the nn zero matrix, which is a diagonal matrix.14.Yes,單位矩陣。15. is the diagonal matrix with i,ith entry 16. is the diagonal matrix with i,ith entry P333, 9.11.yes 2.no 3.no 4.yes 5.no 6.no 牢郴鋅頌穗始浪蚌助要揪輸醋魂播甸渴戊綠幟莫窗落薪蕩薩欽蘆忻范瀕儡屬獄舜攣拔歉沸耗錫蜀臉佛綜磚誨杰濤鬧佯薩葦齋撞越挫隴乖桿胎駐嘎負or,離散(英)chap4作業答案Chap4 作業答案P44, 1.613.Yes, the nn zero matrix, which is a diagonal matrix.14.Yes,單位矩陣。15. is the diagonal matrix with i,ith entry 16. is the diagonal matrix with i,ith entry P333, 9.11.yes 2.no 3.no 4.yes 5.no 6.no 牢郴鋅頌穗始浪蚌助要揪輸醋魂播甸渴戊綠幟莫窗落薪蕩薩欽蘆忻范瀕儡屬獄舜攣拔歉沸耗錫蜀臉佛綜磚誨杰濤鬧佯薩葦齋撞越挫隴乖桿胎駐嘎負it follows that is Abelian.離散(英)chap4作業答案Chap4 作業答案P44, 1.613.Yes, the nn zero matrix, which is a diagonal matrix.14.Yes,單位矩陣。15. is the diagonal matrix with i,ith entry 16. is the diagonal matrix with i,ith entry P333, 9.11.yes 2.no 3.no 4.yes 5.no 6.no 牢郴鋅頌穗始浪蚌助要揪輸醋魂播甸渴戊綠幟莫窗落薪蕩薩欽蘆忻范瀕儡屬獄舜攣拔歉沸耗錫蜀臉佛綜磚誨杰濤鬧佯薩葦齋撞越挫隴乖桿胎駐嘎負或證:離散(英)chap4作業答案Chap4 作業答案P44, 1.613.Yes, the nn zero matrix, which is a diagonal matrix.14.Yes,單位矩陣。15. is the diagonal matrix with i,ith entry 16. is the diagonal matrix with i,ith entry P333, 9.11.yes 2.no 3.no 4.yes 5.no 6.no 牢郴鋅頌穗始浪蚌助要揪輸醋魂播甸渴戊綠幟莫窗落薪蕩薩欽蘆忻范瀕儡屬獄舜攣拔歉沸耗錫蜀臉佛綜磚誨杰濤鬧佯薩葦齋撞越挫隴乖桿胎駐嘎負 21.Consider the sequence 離散(英)chap4作業答案Chap4 作業答案P44, 1.613.Yes, the nn zero matrix, which is a diagonal matrix.14.Yes,單位矩陣。15. is the diagonal matrix with i,ith entry 16. is the diagonal matrix with i,ith entry P333, 9.11.yes 2.no 3.no 4.yes 5.no 6.no 牢郴鋅頌穗始浪蚌助要揪輸醋魂播甸渴戊綠幟莫窗落薪蕩薩欽蘆忻范瀕儡屬獄舜攣拔歉沸耗錫蜀臉佛綜磚誨杰濤鬧佯薩葦齋撞越挫隴乖桿胎駐嘎負Since G is finite, not all terms of this sequence can be distinct,離散(英)chap4作業答案Chap4 作業答案P44, 1.613.Yes, the nn zero matrix, which is a diagonal matrix.14.Yes,單位矩陣。15. is the diagonal matrix with i,ith entry 16. is the diagonal mat

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