Find a least-squares solution of Ax = b by (a) constructing the normal equations for x and (b) solving for x. 1 -2 5 1 -1 2 A = b= 0 4 -4 4 5 2 a. Construct the normal equations for x without solving. X= (Simplify your answers.) b. Solve for x. X= (Simplify your answer.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.3: Quadratic Equations
Problem 50E
Question
LA Review 3 Q8
Find a least-squares solution of Ax = b by (a) constructing the normal equations for x and (b) solving for x.
1 -2
5
1
-1
2
A =
b=
0
4
-4
4
5
2
a. Construct the normal equations for x without solving.
X=
(Simplify your answers.)
b. Solve for x.
X=
(Simplify your answer.)
Transcribed Image Text:Find a least-squares solution of Ax = b by (a) constructing the normal equations for x and (b) solving for x. 1 -2 5 1 -1 2 A = b= 0 4 -4 4 5 2 a. Construct the normal equations for x without solving. X= (Simplify your answers.) b. Solve for x. X= (Simplify your answer.)
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