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
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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[
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