Senin, 03 Maret 2014

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•ALJABAR MATRIKS
•    Budi Murtiyasa
•            Jur. Pendidikan Matematika
•            Universitas Muhammadiyah Surakarta
•            2008
•       Materi
•       Pengertian matriks, operasi matriks
•       Tipe matriks (bentuk eselon, matriks segitiga, Identitas, simetri, ortogonal, dll)
•       Determinan (sifat-2, minor & kofaktor)
•       Rank, ekivalen, OBE, OKE, bentuk normal
•       Matriks invers (Dengan Adjoint, dengan OBE/OKE)
•       Sistem persamaan linear (Metode Gauss, Cramer, Matriks Invers).
•      Referensi
•         Andi Hakim Nasution, 1983, Aljabar Matriks, Bhratara Karya Aksara, Jakarta
•         D. Suryadi HS dan S Harini Mahmudi, 1984, Teori dan Soal Pendahuluan Aljabar  Linear, Ghalia Indonesia, Jakarta.
•         Erwin Kreyszig, 1988, Matematika Teknik Lanjutan Buku 1, Gramedia, Jakarta
•         Frank Ayres Jr., 1982, Theory and Problems of Matrices, Schaum Out Line Series, Mc-Graw Hill International Book Company, Singapore, Asian Edition.
•         Howard Anton, 1988, Aljabar Linear Elementer, Penerbit Erlangga Jakarta, Edisi Kelima.
•         James M Gere and William Weaver Jr., 1987, Aljabar Matriks untuk Para Insinyur,   Erlangga, Jakarta
•         Seymour Lipshutz, 1982, Theory and Problem of  Linear  Algebra, Schaum Out Line Series, Mc-Graw Hill International Book Company, Singapore, Asian Edition.
•         _______________, 1989, 3000 solved Problems in Linear Algebra, Schaum Out Line Series, Mc-Graw Hill International Book Company, Singapore,        International Edition.
•         Wono  Setyo Budi, 1995, Aljabar Linear, Gramedia, Jakarta.
•       Evaluasi
•       Tugas-tugas & paper
•       UJian tengah Semester & Akhir Semester
•       Nilai :
         skor >= 85                     A
         70 =< skor < 85            B
         55 =< skor < 70            C
         45 =< skor < 55            D
         skor < 45                       E
•       Selesaikan !
•        x – 2y = -1                                
         3x + y = 11                                           

•        2x + y = 4
         4x + 2y = 8

•        x + 3y = 6
         -2x – 6y = 8

•       Aljabar Matriks membantu mencari solusi sistem persamaan linear secara sistematis.


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