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Linear AlgebraEasyOrthogonality & Least Squares

Orthogonality & Least Squares · Easy problem

The vectors u1=(1,1)\mathbf u_1 = (1, 1) and u2=(1,−1)\mathbf u_2 = (1, -1) form an orthogonal basis of R2\mathbb R^2. Write b=(5,3)\mathbf b = (5, 3) as b=c1u1+c2u2\mathbf b = c_1\mathbf u_1 + c_2\mathbf u_2 and find c2c_2.