Tugas 3 MITA AFRILIA (16029144).docx

# Tugas 3 MITA AFRILIA (16029144).docx - Tugas Metode Numerik...

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Tugas Metode Numerik Perambatan Galat Nama : Mita Afrilia Nim : 16029144 Jurusan : PENDIDIKAN MATEMATIKA Jurusan Matematika Fakultas Matematika dan Ilmu Pengetahun Alam Universitas Negeri Padang 2019

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Buktikanlah rumus operasi hitung perambatan galat 1. Operasi Penjumlahan : E(X + Y) = E(X) + E(Y) Bukti : X E X X ~ Y E Y Y ~ + ) ~ ( ) ~ ( Y X E Y E X Y X ) ( ) ~ ~ ( Y X E E Y X Y X Y X E E Y X Y X ) ~ ~ ( ) ( Y X Y X E E E 2. Operasi Pengurangan : E(X – Y) = E(X) – E(Y) Bukti : X E X X ~ Y E Y Y ~ ) ~ ( ) ~ ( Y X E Y E X Y X ) ( ) ~ ~ ( Y X E E Y X Y X Y X E E Y X Y X ) ~ ~ ( ) ( Y X Y X E E E 3. Operasi Perkalian : e (XY) = e(X) + e(Y) Bukti : X E X X ~ Y E Y Y ~ x ) ~ ( ) ~ ( . Y X E Y E X Y X Y X X Y E E E Y E X Y X Y X ~ ~ ~ ~ . X Y E Y E X Y X Y X ~ ~ ~ ~ . XY E Y XY E X XY Y X XY X Y ~ ~ ~ ~
Y E X Y Y E X X e X Y XY ~ ~ X Y XY e e e . 1 . 1 Y X XY e e e 4. Operasi Pembagian : e( X Y ) = e(X) – e(Y) Bukti : X E X X ~ Y E Y Y ~ ) ~ ( ) ~ ( Y X E Y E X Y X ) ~ ( ) ~ ( 1 X Y E X E Y Y X Y E Y E X Y X Y X ~ 1 1 ) ~ ( ~ Misalkan : Y E Y ~ = R 1 1 + R = 1 R + R 2 R 2 + Sehingga :

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• Fall '17
• xy, perambatan galat, Universitas Negeri Padang, Metode Numerik Perambatan

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