Page 4 - Modul Aljabar
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5.1. Ruang-n Euclids ................................................................... 64
5.2. Sub-ruang Vektor ................................................................. 66
LATIHAN SOAL ................................................................................. 69
BAB VI: RUANG VEKTOR LANJUTAN ......................................... 73
6.1. Kebebasan Linier ................................................................. 73
6.2. Basis dan Dimensi ................................................................ 76
6.3. Ruang Baris dan Kolom Matriks; Ruang Null Rank;
Penerapan terhadap Pencarian Baris. ............................................... 81
LATIHAN SOAL ................................................................................. 88
BAB VII: RUANG HASIL KALI DALAM VEKTOR ....................... 91
7.1 Ruang Hasil Kali Dalam ...................................................... 91
7.2 Panjang dan Sudut Diruang Hasil Kali Dalam ..................... 97
7.3 Keortogonalan Pada Ruang Hasil Kali Dalam ..................... 98
7.4 Basis Ortonormal dan proses Gram schmidt ...................... 100
LATIHAN SOAL ............................................................................... 105
BAB VIII: VEKTOR KOORDINAT DAN PERUBAHAN BASIS ... 110
8.1 Vektor Koordinat ................................................................. 110
8.2 Perubahan Basis .................................................................. 113
BAB IX : TRANSFORMASI LINEAR, KERNEL DAN
JANGKAUAN ................................................................................... 121
9.1. Transformasi Linier ............................................................ 121
LATIHAN SOAL ............................................................................... 135
BAB X: TRANSFORMASI LINEAR (LANJUTAN) ....................... 139
10.1 Transformasi Linear ........................................................... 139
10.2 Geometri Transformasi Linear dari 2 ke 2 .................... 140
10.3 Matriks Transformasi Linear .............................................. 150
10.4 Keserupaan ......................................................................... 152
LATIHAN SOAL ............................................................................... 155
BAB XI: NILAI DAN VEKTOR EIGEN ......................................... 157
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