Hello. Please answer the attached Linear Algebra question and its two parts correctly & completely. Please show all of your work for each part. *If you answer the question and its two parts correctly, I will give you a thumbs up. Thanks. Part A:Find a least-squares solution of theinconsistent system Ax = b, anddetermine the least-squares error.A=[1 2]3 4, b59142Part B:Find the equation y = ß0 + B₁x of the least-squares linethat best fits the given data points.Data points: (5, 2), (2, 2), (4, 3), (5, 1)15121415X=223*Please Answer Both Parts Correctly

The system A=123459, b=142. To Find: Solve the least square solution of the above system of…

Answered: Find a least-squares inconsistent…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Hello. Please answer the attached Linear Algebra question and its two parts correctly & completely. Please show all of your work for each part.

*If you answer the question and its two parts correctly, I will give you a thumbs up. Thanks.

Part A:
Find a least-squares solution of the
inconsistent system Ax = b, and
determine the least-squares error.
A
=
[1 2]
3 4, b
59
1
4
2
Part B:
Find the equation y = ß0 + B₁x of the least-squares line
that best fits the given data points.
Data points: (5, 2), (2, 2), (4, 3), (5, 1)
15
12
14
15
X=
223
*Please Answer Both Parts Correctly

Branch of mathematics concerned with mathematical structures that are closed under operations like addition and scalar multiplication. It is the study of linear combinations, vector spaces, lines and planes, and some mappings that are used to perform linear transformations. Linear algebra also includes vectors, matrices, and linear functions. It has many applications from mathematical physics to modern algebra and coding theory.

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