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Chương 1 – Chương 1 – TRƯỜNG SỐ PHỨC TRƯỜNG SỐ PHỨC ThS. LÊ HOÀNG TUẤN

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đại số tuyến tính thầy Lê Hoàng Tuấn

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  • Chng 1 TRNG S PHC ThS. L HONG TUN

  • Trng H Cng Ngh Thng Tin HQG Tp.HCM http://www.uit.edu.vnChng 1 TRNG S PHCXY DNG TRNG S PHC Xut pht t ptv nghim trn Tm cch m rng Ta cv xem Trn ta ch c php cng (+) t nhin Ta nh ngha thm php nhn (.) nh sau

  • Trng H Cng Ngh Thng Tin HQG Tp.HCM http://www.uit.edu.vnChng 1 TRNG S PHCXY DNG TRNG S PHCKhi , c gi l (gl) trng s phcv migi l mt s phc V dcho 2 s phcLc ny,, vS O Ta c

  • Trng H Cng Ngh Thng Tin HQG Tp.HCM http://www.uit.edu.vnChng 1 TRNG S PHCS ONh vy, ptc ngim l v gl s o (imaginary number) Tnh chtTng qut:khi

  • Trng H Cng Ngh Thng Tin HQG Tp.HCM http://www.uit.edu.vnChng 1 TRNG S PHCDNG I S CA S PHCXt s phc , ta c: Nh vy, l dng i s ca s phc z= phn thc ca z (real part)= phn o ca z (imaginary part) Lc ny,, hay

  • Trng H Cng Ngh Thng Tin HQG Tp.HCM http://www.uit.edu.vnChng 1 TRNG S PHCCC PHP TNH DI DNG I S Ta c th lm cc php tnh: cng, tr, nhn, chia mt cch t nhini vi cc s phc dng i s Lu :v cch h cc ly tha ca i V dcho 2 s phc, th ta c

  • Trng H Cng Ngh Thng Tin HQG Tp.HCM http://www.uit.edu.vnChng 1 TRNG S PHCCC PHP TNH DI DNG I SCn ??tm cch lm sao cho mu s mt s o i Lu mt s o iv gl s phc lin hp ca s phc& ngc li

  • Trng H Cng Ngh Thng Tin HQG Tp.HCM http://www.uit.edu.vnChng 1 TRNG S PHC DI (MODULE) CA S PHCS phcc biu din hnh hc l vector trn h trc ta Oxyt = di (module) ca z& k hiu l V dc di

  • Trng H Cng Ngh Thng Tin HQG Tp.HCM http://www.uit.edu.vnChng 1 TRNG S PHCDNG LNG GIC CA S PHCCho s phc& gi s ( ngha l )Vitthv , ngha l ta tm c gctha

  • Trng H Cng Ngh Thng Tin HQG Tp.HCM http://www.uit.edu.vnChng 1 TRNG S PHCDNG LNG GIC CA S PHC Lu cc nghim lun sai km nhau mt bi nguyn ca, ngha l nu chntrn mt chu khaythl duy nhtV ta k hiu= i s ca z (argument) Nh vy,vil dng lng gicca z

  • Trng H Cng Ngh Thng Tin HQG Tp.HCM http://www.uit.edu.vnChng 1 TRNG S PHCDNG LNG GIC CA S PHC Lu nuth z c dng lng gic l, vity V da/ Cho , th ta cb/ Cho , c

  • Trng H Cng Ngh Thng Tin HQG Tp.HCM http://www.uit.edu.vnChng 1 TRNG S PHCCC PHP TNH THEO DNG LNG GICCho 2 s phc, khi ta c( khi ) c bit, nuth V dCho 2 s phc

  • Trng H Cng Ngh Thng Tin HQG Tp.HCM http://www.uit.edu.vnChng 1 TRNG S PHCCC PHP TNH THEO DNG LNG GIC, v V d 2 Cho tnh

  • Trng H Cng Ngh Thng Tin HQG Tp.HCM http://www.uit.edu.vnChng 1 TRNG S PHCCC PHP TNH THEO DNG LNG GIC Ta c

  • Trng H Cng Ngh Thng Tin HQG Tp.HCM http://www.uit.edu.vnChng 1 TRNG S PHCCN CA S PHCCho s phc, v n nguyn, th( tp hp cc cn bc n ca z ) V d, v CN BC 2 CA S PHC DI DNG I S Cho s phc

  • Trng H Cng Ngh Thng Tin HQG Tp.HCM http://www.uit.edu.vnChng 1 TRNG S PHCCN BC 2 CA S PHC DI DNG I S t, th ta c( nu)( nu)

  • Trng H Cng Ngh Thng Tin HQG Tp.HCM http://www.uit.edu.vnChng 1 TRNG S PHCCN BC 2 CA S PHC DI DNG I S V dTm vi, nn ta c

  • Trng H Cng Ngh Thng Tin HQG Tp.HCM http://www.uit.edu.vnChng 1 TRNG S PHC V d 2Tm vi, nn ta cCN BC 2 CA S PHC DI DNG I S

  • Trng H Cng Ngh Thng Tin HQG Tp.HCM http://www.uit.edu.vnChng 1 TRNG S PHCGII PHNG TRNH BC 2 TRN C Xt pt bc 2 trn ( vi ) Tnh hay TH1: th pt c nghim kp

  • Trng H Cng Ngh Thng Tin HQG Tp.HCM http://www.uit.edu.vnChng 1 TRNG S PHCGII PHNG TRNH BC 2 TRN C TH2: ta rt ( dng i s )hoc ta rt th pt c 2 nghim phn bit

  • Trng H Cng Ngh Thng Tin HQG Tp.HCM http://www.uit.edu.vnChng 1 TRNG S PHCGII PHNG TRNH BC 2 TRN C V d 1gii pt sau trn Ta c Pt c 2 nghim pb V d 2gii pt sau trn

  • Trng H Cng Ngh Thng Tin HQG Tp.HCM http://www.uit.edu.vnChng 1 TRNG S PHCGII PHNG TRNH BC 2 TRN C Ta c pt c 2 nghim pb

  • Trng H Cng Ngh Thng Tin HQG Tp.HCM http://www.uit.edu.vnChng 1 TRNG S PHCCN BC n (n>=2) CA S PHC DNG LNG GIC Xt s phc, vi Munta chn

  • Trng H Cng Ngh Thng Tin HQG Tp.HCM http://www.uit.edu.vnChng 1 TRNG S PHCCN BC n (n>=2) CA S PHC DNG LNG GIC Nu th Nu thl tp hp c ng n phn t (vit di dng lng gic) nh sau:, trong hay

  • Trng H Cng Ngh Thng Tin HQG Tp.HCM http://www.uit.edu.vnChng 1 TRNG S PHCCN BC n (n>=2) CA S PHC DNG LNG GIC V d 1, vihay C th,

  • Trng H Cng Ngh Thng Tin HQG Tp.HCM http://www.uit.edu.vnChng 1 TRNG S PHCCN BC n (n>=2) CA S PHC DNG LNG GIC, tng t

  • Trng H Cng Ngh Thng Tin HQG Tp.HCM http://www.uit.edu.vnChng 1 TRNG S PHCCN BC n (n>=2) CA S PHC DNG LNG GIC V d 2: cn bc n ca n v 1, vi hay C th

  • Trng H Cng Ngh Thng Tin HQG Tp.HCM http://www.uit.edu.vnChng 1 TRNG S PHCCN BC n (n>=2) CA S PHC DNG LNG GIC V d 3, vi