SPAL part 1 - SISTEM PERSAMAAN ALJABAR LINEAR (SPAL)...

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SISTEM PERSAMAAN ALJABAR LINEAR (SPAL) Dr.-rer.nat. Ir. Yuswan Muharam, M.T. Departemen Teknik Kimia Fakultas Teknik Universitas Indonesia
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SISTEM PERSAMAAN ALJABAR LINEAR (SPAL) SPAL : himpunan persamaan aljabar linier yang variabel- variabelnya hanya berpangkat satu (linier). variabel Konstanta/ koefisien ( VRK ) Pemisahan variabel
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SISTEM PERSAMAAN ALJABAR LINEAR (SPAL) matriks imbuhan ( augmented matrix )
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SISTEM PERSAMAAN ALJABAR LINEAR (SPAL) Syarat solusi SPAL:
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SOLUSI SPAL SECARA NUMERIS Metode langsung Berdasarkan operasi-operasi baris yang langsung diterapkan pada matriks SPAL, Contoh: Eliminasi Gauss, Eliminasi Gauss - Jordan , Dekomposisi LU, Solusi sistem Matriks TRIDIAGONAL Metode tak langsung Metode iteratif ( trial and error ) Contoh: Metode Jacobi , Metode Gauss Seidel , dan Metode SOR ( successive over relaxation ).
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ELIMINASI GAUSS Fasa eliminasi: Mengubah Ax = b menjadi Ux = c . dimana U = matriks segitiga atas Fasa substitusi balik ( back substitution ) Contoh:
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ELIMINASI GAUSS
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This note was uploaded on 01/02/2012 for the course CHEM E 101 taught by Professor Mr.yuswan during the Spring '11 term at Universitas Indonesia.

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SPAL part 1 - SISTEM PERSAMAAN ALJABAR LINEAR (SPAL)...

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