Least Square System Solution The over determined system of equation AxÌ = bÌ given by Has no
Question:
Has no solution. If you premultiply each side of the equation by AT, however, you will obtain a system with a unique solution xÌ
= [x1. x2] representing a point that minimize the sum of the squares of the difference between the left and right hand sides of equation (10). It is called that least squares solution of AxÌ
= bÌ
.
(a) Find the linear system AT AxÌ
= ATb.
(b) Solve the linear system found in (a) for the least squares solution.
(c) Plot the three lines detennined by (10) and the point obtained in (b).
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Related Book For
Differential Equations and Linear Algebra
ISBN: 978-0131860612
2nd edition
Authors: Jerry Farlow, James E. Hall, Jean Marie McDill, Beverly H. West
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