Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §13.6 Maxima, Minima, and Saddle Points, #19 · Multivariable Calculus · Gradient & optimization

(Straight line fit, Section 11.4) Find … and … to minimize the…

(Straight line fit, Section 11.4) Find $x$ and $y$ to minimize the error
$E = (x + y)^{2} + (x + 2 y - 5)^{2} + (x + 3 y - 4)^{2} .$
Show that this gives a minimum not a saddle point.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §13.6 Maxima, Minima, and Saddle Points, #19

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