Page 3 - Modul Aljabar
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DAFTAR ISI
KATA PENGANTAR.............................................................................. i
DAFTAR ISI .......................................................................................... ii
BAB I : MATRIKS DAN OPERASI MATRIKS ................................... 1
1.1 MATRIK DAN OPERASI MATRIKS .................................. 1
1.2 JENIS JENIS MATRIKS ....................................................... 7
1.3 Matriks Elementer dan Metode untuk Menemukan Invers
Matriks ............................................................................................. 10
BAB II: FUNGSI DETERMINAN DAN DETERMINAN REDUKSI
BARIS .................................................................................................. 13
2.1. Fungsi Determinan ............................................................... 13
2.2. Determinan Dengan Reduksi Baris ...................................... 24
LATIHAN SOAL ................................................................................. 26
BAB III : DETERMINAN MATRIKS ................................................ 28
3.1 Determinan dengan Ekspansi Kofaktor ............................... 28
3.2 Sifat-Sifat Fungsi Aljabar..................................................... 32
3.3 Aturan Cramer ..................................................................... 36
LATIHAN SOAL ................................................................................. 43
BAB IV: VEKTOR .............................................................................. 47
4.1 Pengantar Vektor (Geometrik) ............................................. 47
4.2 Panjang (Norm) Suatu Vektor .............................................. 50
4.3 Jarak (Distance) Dua Buah Titik .......................................... 52
4.4 Hasil Kali Titik (Dot Product) .............................................. 53
4.5 Proyeksi................................................................................ 55
4.6 Hasil Kali Silang (Cross Product) ........................................ 57
4.7 Persamaan Garis dan Bidang Secara Vektor ........................ 59
LATIHAN SOAL ................................................................................. 62
BAB V: RUANG VEKTOR ................................................................ 64
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