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Linear AlgebraSuperchallengeOrthogonality & Least Squares

Orthogonality & Least Squares · Superchallenge problem

Find the minimum value of ∫01(x2−a−bx)2 dx\displaystyle\int_0^1 \left(x^2 - a - bx\right)^2\,dx over all real numbers aa and bb.