Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §13.6 Maxima, Minima, and Saddle Points, #20 · Multivariable Calculus · Gradient & optimization

(Least squares) What numbers … come closest to satisfying the three equations…

(Least squares) What numbers $x, y$ come closest to satisfying the three equations $x - y = 1$ , $2 x + y = - 1$ , $x + 2 y = 1$ ? Square and add the errors, $(x - y - 1)^{2} +$ ____ + ____ . Then minimize.

~5 minWritten answer · check your work with Lemma

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §13.6 Maxima, Minima, and Saddle Points, #20

Stuck? A gentle nudge

No hints for this one.

Something off?

Workspace

Your working

Check your full solution

Upload photos of your handwritten work or a PDF, and Lemma will read it and tell you whether it's right — and where it first goes wrong if not.