Find (a) the orthogonal projection of b onto Col A and (b) a least-squares solution of Ax = b. A = 1 1 0 10 - 1 0 1 1 - 1 1 - 1 b= 1 6 3 a. The orthogonal projection of b onto Col A is b = b. A least-squares solution of Ax = b is x = (Simplify your answers.) (Simplify your answers.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 84E
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Find (a) the orthogonal projection of b onto Col A and (b) a least-squares solution of Ax = b.
A =
1 1
0
10 - 1
0 1 1
- 1 1 - 1
b=
1
6
3
a. The orthogonal projection of b onto Col A is b =
b. A least-squares solution of Ax = b is x =
(Simplify your answers.)
(Simplify your answers.)
Transcribed Image Text:Find (a) the orthogonal projection of b onto Col A and (b) a least-squares solution of Ax = b. A = 1 1 0 10 - 1 0 1 1 - 1 1 - 1 b= 1 6 3 a. The orthogonal projection of b onto Col A is b = b. A least-squares solution of Ax = b is x = (Simplify your answers.) (Simplify your answers.)
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