Describe all least-squares solutions of the equation Ax = b. 1 1 0 10 1 1 A = b = 10 1 1 1 1 0 The least-squares solutions are all vectors of the form x = + X3, with x3 free. (Simplify your answers.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 13E
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Describe all least-squares solutions of the equation Ax = b.
1 1 0
10 1
A =
1
b =
1
10 1
1 1 0
The least-squares solutions are all vectors of the form x=
+X3,
with X3 free.
(Simplify your answers.)
Transcribed Image Text:Describe all least-squares solutions of the equation Ax = b. 1 1 0 10 1 A = 1 b = 1 10 1 1 1 0 The least-squares solutions are all vectors of the form x= +X3, with X3 free. (Simplify your answers.)
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