The matrix equation (Ax = b) - 2 X1 1 has no solution. We wish to find the best approximate solution to this system. 1. Write the system of equations used to find the best approximation (i.e., write the system corresponding to the "normal equations"). 10 -6 7 -6 X = -4 2. The solution to the system of normal equations is 11 14 1 IX

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Matrices And Determinants
Section: Chapter Questions
Problem 15T: One hundred liters of a 50% solution is obtained by mixing a 60% solution with a 20% solution. Use a...
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3. The vector in the column space of A nearest to the vector b is
4. The "error vector" (i.e., the difference between b and the nearest vector) is
5. The magnitude of the error is
Transcribed Image Text:3. The vector in the column space of A nearest to the vector b is 4. The "error vector" (i.e., the difference between b and the nearest vector) is 5. The magnitude of the error is
The matrix equation (Ax = b)
3.
- 2
X1
1
X2
1
has no solution. We wish to find the best approximate solution to this system.
1. Write the system of equations used to find the best approximation (i.e., write the system corresponding
to the "normal equations").
10
-6
7
-6
-4
2. The solution to the system of normal equations is
11
14
IX
Transcribed Image Text:The matrix equation (Ax = b) 3. - 2 X1 1 X2 1 has no solution. We wish to find the best approximate solution to this system. 1. Write the system of equations used to find the best approximation (i.e., write the system corresponding to the "normal equations"). 10 -6 7 -6 -4 2. The solution to the system of normal equations is 11 14 IX
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