Consider the system of equations. x +y = 0 x + y = 1 (a) Set up and solve the normal equations for the system. X = (b) Find a parametric expression for the length of a solution vector in part (a). (Let y = t.) (c) Find the solution vector of minimal length. (Hint: Recall how to find the coordinates of the vertex of a parabola.) X =

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.4: The Singular Value Decomposition
Problem 49EQ
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Consider the system of equations.
X + y = 0
X + y = 1
(a) Set up and solve the normal equations for the system.
X =
(b) Find a parametric expression for the length of a solution vector in part (a). (Let y = t.)
(c) Find the solution vector of minimal length. (Hint: Recall how to find the coordinates of the vertex of a parabola.)
X =
Transcribed Image Text:Consider the system of equations. X + y = 0 X + y = 1 (a) Set up and solve the normal equations for the system. X = (b) Find a parametric expression for the length of a solution vector in part (a). (Let y = t.) (c) Find the solution vector of minimal length. (Hint: Recall how to find the coordinates of the vertex of a parabola.) X =
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