A Note on Least Squares Solutions and Gaussian Eliminations
If we use Gaussian eliminations(i.e.do elementary row operations on the augmented matrix)to find least squares solutions for overdetermined linear equations,sometimes we will obtain the correct solutions.However,in general it yields wrong answers.We discuss some relations between Gaussian eliminations and least squares solutions,intending to remind beginners to pay attention to their difference.
overdetermined linear equationsleast squares solutionGaussian elimination