For an overdetermined system of linear equations (more equations than unknowns) that has no exact common solution, the 'optimum' (best-fit) solution is found using the least-squares method: solving the normal equations AᵀAx = Aᵀb, which minimizes the sum of squared residuals across all given equations.
Writing the system as Ax=b with A = [[2,3],[3,2],[2,-6]] and b = [8,9,0]ᵀ, we form the normal equations AᵀAx = Aᵀb. Computing AᵀA: the (1,1)...
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