Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
![1 X1
1 ×2
1 1
1 2
A =
1 X3
1 3
Y1
b = Y2
1
14
Уз
a
X =
By the Least Squares Theorem, we want a solution to the equation Ax = b. Indeed, this theorem tells us that
the solution is given by x = (ATA)-'ATb.
First, simplify the following.
1 1
1 1
1 2
ATA
1
2 3
3
1 3
6.
14
14
Step 2
Next, find the following inverse.
-1
6
3
(ATA)-1
=
6 14
7
3/7
3
-1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe82ebd42-ef68-41dc-8504-bf49f851fb6f%2F6a73a595-63d6-4c4f-bccd-eb0111a5ba8c%2F8igcemk_processed.png&w=3840&q=75)
Transcribed Image Text:1 X1
1 ×2
1 1
1 2
A =
1 X3
1 3
Y1
b = Y2
1
14
Уз
a
X =
By the Least Squares Theorem, we want a solution to the equation Ax = b. Indeed, this theorem tells us that
the solution is given by x = (ATA)-'ATb.
First, simplify the following.
1 1
1 1
1 2
ATA
1
2 3
3
1 3
6.
14
14
Step 2
Next, find the following inverse.
-1
6
3
(ATA)-1
=
6 14
7
3/7
3
-1
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