Buku Matematika (Bahasa) Kelas 12 SMA

Materi Matematika (Bahasa)

Kata Sambutan........................................................................................................................... iii
Kata Pengantar........................................................................................................................... iv
Petunjuk Penggunaan Buku.................................................................................................... v
Daftar Simbol dan Notasi......................................................................................................... vii
Daftar Isi...................................................................................................................................... viii

BAB I PROGRAM LINEAR................................................................................................. 1
1.1 Sistem Pertidaksamaan Linear Dua Variabel.............................................. 2
1.2 Nilai Optimum Fungsi pada Daerah Penyelesaian..................................... 6
1.3 Model Matematika Persoalan Program Linear............................................ 10
1.4 Penyelesaian Persoalan Program Linear...................................................... 14
1.5 Penggunaan Garis Selidik untuk Nilai Optimum ....................................... 20
Rangkuman ................................................................................................................ 25
Uji Kompetensi ........................................................................................................... 27
Aktivitas Proyek ........................................................................................................ 32

BAB II MATRIKS.................................................................................................................... 33
2.1 Pengertian, Notasi, dan Ordo Matriks ........................................................... 34
2.2 Kesamaan Dua Matriks .................................................................................... 37
2.3 Jenis-jenis Matriks............................................................................................. 38
2.4 Transpose Matriks ............................................................................................. 41
2.5 Operasi Aljabar pada Matriks........................................................................ 42
2.6 Determinan Matriks .......................................................................................... 58
2.7 Invers Matriks .................................................................................................... 62
2.8 Aplikasi Invers Matriks pada Sistem Persamaan Linear........................... 69
2.9 Penyelesaian Sistem Persamaan Linear dengan Determinan................... 73
Rangkuman ................................................................................................................ 82
Uji Kompetensi ........................................................................................................... 85
Aktivitas Proyek ........................................................................................................ 89
Latihan Ulangan Umum Semester 1...................................................................................... 91

BAB III BARISAN DAN DERET........................................................................................... 99
3.1 Pengertian Barisan dan Deret ......................................................................... 100
3.2 Barisan Aritmetika............................................................................................ 104
3.3 Deret Aritmetika................................................................................................ 107
3.4 Barisan Geometri............................................................................................... 111
3.5 Deret Geometri................................................................................................... 115
3.6 Deret Geometri Konvergen .............................................................................. 119
3.7 Notasi Sigma...................................................................................................... 122
3.8 Pembuktian dengan Prinsip Induksi Matematika....................................... 127
3.9 Aplikasi Deret Aritmetika dan Geometri...................................................... 129
Rangkuman ................................................................................................................ 139
Uji Kompetensi ........................................................................................................... 142
Aktivitas Proyek ........................................................................................................ 145
Latihan Ulangan Umum Semester 2...................................................................................... 147

Daftar Pustaka............................................................................................................................ 153
Glosarium.................................................................................................................................... 155
Indeks.......................................................................................................................................... 157
Lampiran...................................................................................................................................... 159
Kunci Jawaban............................................................................................................................ 167