Find (a) the orthogonal projection of b onto Col A and (b) a least-squares solution of Ax = b. [Hint: Don't work too hard here. Investigate the columns of A.] %3| (1) 1 21 3 A = 4 2

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 21CM
Question
100%
Find (a) the orthogonal projection of b onto Col A and (b) a least-squares solution
of Ax = b. [Hint: Don't work too hard here. Investigate the columns of A.]
%3|
(1)
2
,b
1
3
A =
4
(2)
1
1
-
A
%3D
1
1
1
-1
6
-
Transcribed Image Text:Find (a) the orthogonal projection of b onto Col A and (b) a least-squares solution of Ax = b. [Hint: Don't work too hard here. Investigate the columns of A.] %3| (1) 2 ,b 1 3 A = 4 (2) 1 1 - A %3D 1 1 1 -1 6 -
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