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Compute the least-squares error associated with the least-squares solution found in Exercise $3 .$

2$\sqrt{5}$

Calculus 3

Chapter 6

Orthogonality and Least Square

Section 5

Least-Squares Problems

Vectors

Johns Hopkins University

Missouri State University

Harvey Mudd College

University of Michigan - Ann Arbor

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we want to find the least squares error associated to the system. A x equal be where a and B are This matter is here as an exercise for so we have computer ready that the least square solution except is given by 11 So now we just need to compute the error which is given by the length of the vector X at minus me. So we actually just compute the problem between the messages and then subtract. So we have the lands off well, except it turns out to be 402 and then was trucked the vector me, which is 510 And this is the length of the HVAC Tora minus one minus one, too. Now the land off this vector, of course, given by the square root of the sum of the squares of its entries, so minus one squared plus minus one squared plus two squared, which is out to be six. So the error in this case is given by route off six

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