Math Problem Statement
using the least square method, find the best approximate solution to the following system of equations 3x1-2x2=4 x1+x2=2 x1-x2=1
Solution
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Math Problem Analysis
Mathematical Concepts
Linear Algebra
Least Squares Method
Systems of Equations
Formulas
Least squares solution formula: x = (A^T A)^{-1} A^T b
Matrix multiplication and inversion
Theorems
Least Squares Approximation
Properties of Matrix Transpose and Inverse
Suitable Grade Level
Undergraduate Level
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