Linear Algebra and Its Applications · Problem 3.3.1

Orthogonality — Gilbert Strang

Mathematics · least-squares-projection

Problem

Find the best least-squares solution

\hat{x}

3x = 10

4x = 5

. What error

E^2

is minimized? Check that the error vector

(10 - 3\hat{x}, 5 - 4\hat{x})

is perpendicular to the column

(3, 4)