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DAFTAR ISI
KATA PENGANTAR ................................................................................... iv
BAB I SISTEM PERSAMAAN LINIER ..................................................... 1
A. SISTEM PERSAMAAN LINEAR ..................................................... 2
B. ELIMINASI GAUSSIAN ................................................................... 5
C. MATRIKS DAN OPERASI MATRIKS ............................................. 8
D. INVERS MATRIKS ........................................................................... 9
E. MATRIKS ELEMENTER DAN METODE PENENTUAN − . 12
F. MATRIKS DIAGONAL,SEGITIGA dan SIMETRIS ...................... 13
G. TRANSPOSE MATRIKS ................................................................. 18
H. PENERAPAN SISTEM LINIER ...................................................... 19
I. MODEL INPUT OUTPUT LEONTIEF ............................................ 23
J. STUDI KASUS .................................................................................. 27
BAB II RUANG VEKTOR .......................................................................... 34
A. RUANG VEKTOR UMUM ............................................................. 34
B. SUBRUANG ..................................................................................... 38
C. KOMBINASI LINEAR ..................................................................... 38
D. SPAN................................................................................................. 39
E. KEBEBASAN LINEAR.................................................................... 40
F. BASIS DAN DIMENSI ..................................................................... 41
G. RUANG BARIS, RUANG KOLOM, DAN RUANG NOL ............. 42
H. RUANG VEKTOR KOMPOSISI ..................................................... 45
I. EVALUASI ........................................................................................ 48
BAB III NILAI EIGEN ................................................................................ 49
A. NILAI EIGEN ................................................................................... 49
B. VEKTOR EIGEN .............................................................................. 53
C. DIAGONALISASI ............................................................................ 57
D. EVALUASI ....................................................................................... 60
BAB IV RUANG HASIL KALI DALAM .................................................. 62
A. DEFINISI RUANG HASIL KALI DALAM .................................... 62
B. SIFAT-SIFAT RUANG HASIL KALI DALAM ............................. 66
C. SUDUT, KEORTOGONALAN dan LEAST SQUARES
KETAKSAMAAN CAUCHY-SCHARWZ ..................................... 70
D. ORTOGONALITAS ......................................................................... 71
E. PROSES GRAM-SCHMDIT ............................................................ 74
ii | P e n g a n t a r L i n i e r A l j a b a r
