Consider the system of linear equations [8 a 0;a 2 -1;0 -1 2/3] column[x y z] = column[1 2 3] For what values of a can the Cholesky decomposition be applied directly to the matrix of the linear system? a)a belongs to ]0,2[ b)a belongs to ]-2,2[ c) a belongs to ]0,4[ d)a belongs to ]-4,4[
Consider the system of linear equations [8 a 0;a 2 -1;0 -1 2/3] column[x y z] = column[1 2 3] For what values of a can the Cholesky decomposition be applied directly to the matrix of the linear system? a)a belongs to ]0,2[ b)a belongs to ]-2,2[ c) a belongs to ]0,4[ d)a belongs to ]-4,4[
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 32E
Related questions
Question
Consider the system of linear equations [8 a 0;a 2 -1;0 -1 2/3] column[x y z] = column[1 2 3]
For what values of a can the Cholesky decomposition be applied directly to the matrix of the linear system?
a)a belongs to ]0,2[
b)a belongs to ]-2,2[
c) a belongs to ]0,4[
d)a belongs to ]-4,4[
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning