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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §11.4 Matrices and Linear Equations, #38 · Linear Algebra · Linear systems

Find the combination … of the vectors … and … that comes…

Find the combination $p = x a + y b$ of the vectors $a = (1, 1, 1)$ and $b = (- 1, 0, 1)$ that comes closest to $d = (2, 6, 4)$ . (a) Solve the normal equations (14) for $x$ and $y$ . (b) Check that the error $d - p$ is perpendicular to $a$ and $b$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §11.4 Matrices and Linear Equations, #38

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