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System - ME 210 Applied Mathematics for Mechanical...

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ME 210 Applied Mathematics for Mechanical Engineers Prof. Dr. Faruk Arınç Spring 2010 System of Linear Algebraic Equations 11 1 12 2 1n n 1 21 1 22 2 2n n 2 m1 1 m2 2 mn n m a x + a x + ... + a x = b a x + a x + ... + a x = b ............ a x + a x + ... + a x = b Consider a system of m linear algebraic equations with n unknowns: x 1 , x 2 , ... , x n where a ij and b i are constants. This system of equations can be written as a single vector-matrix equation as: [A] [x] = [b] Coefficient matrix Column vector of unknowns Column vector of known values
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