Let S be the subspace of R³ spanned by the vectors 1 and S that is closest to b. (If the entries of your vector do not come out as whole numbers, round them to 4 decimal places.) Find the least-squares solution to the following system of equations: 3x₂ = 7 4x2 = 3 3x2 = 9 (89) x1 x1 - 3x1 || , and let b 5. Find the point in -0. + + 18

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 41CR: Let B={(0,2,2),(1,0,2)} be a basis for a subspace of R3, and consider x=(1,4,2), a vector in the...
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Let S be the subspace of R³ spanned by the vectors 1 and
S that is closest to b.
(If the entries of your vector do not come out as whole numbers, round them to 4 decimal places.)
Find the least-squares solution to the following system of equations:
3x₂ = 7
4x2 = 3
3x2 = 9
(89)
x1
x1
- 3x1
||
, and let b 5. Find the point in
-0.
+
+
18
Transcribed Image Text:Let S be the subspace of R³ spanned by the vectors 1 and S that is closest to b. (If the entries of your vector do not come out as whole numbers, round them to 4 decimal places.) Find the least-squares solution to the following system of equations: 3x₂ = 7 4x2 = 3 3x2 = 9 (89) x1 x1 - 3x1 || , and let b 5. Find the point in -0. + + 18
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