3. Consider the following matrix 3 A = 1 -1 1 -1 4 1 1 5 a) Show that the matrix A is positive definite. b) Find the Cholesky factorization A = GG¹.
3. Consider the following matrix 3 A = 1 -1 1 -1 4 1 1 5 a) Show that the matrix A is positive definite. b) Find the Cholesky factorization A = GG¹.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.4: Elementary Matrices
Problem 61E: Show that the matrix below does not have an LU factorization. A=0110
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