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Q2. In the triangular decomposition of (; 5) in form of LL" , the number of unknowns is 1 3 2 4

Q2. In the triangular decomposition of (; 5) in form of LL" , the number of unknowns is 1 3 2 4

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A B E Q1. For the two matrices A = (; ), A = (6 7). |-6 ) -8 18 AB = ? Q2. In the triangular decomposition of (; ), in the 1 4 form of LL" , the number of unknowns is Q3. In the triangular decomposition of a symmetric nxn matrix (in the form of LL"), the number of unknowns i given by Q4. In the iterative formula Gn+1 = D-'(C – AG„), what п (п - 1) n+4 n(n + 1) n+1 2 2 20 20 -1 -1 20 15 0 ( 20 -1 is the matrix A in ( -1 20 0 1 O 20 -1 1 20 1 -1 20 20 1 15 1 15/ 0 0 20 1 15 15. -5 Q5. What are the Eigen values of the matrix 2 A = -1,2 = -6 A = -1,2 = 6 A = 1,1 = -6 A = 1,2 = 6 A = 1, 2 = 4 2. 3.
Transcribed Image Text:A B E Q1. For the two matrices A = (; ), A = (6 7). |-6 ) -8 18 AB = ? Q2. In the triangular decomposition of (; ), in the 1 4 form of LL" , the number of unknowns is Q3. In the triangular decomposition of a symmetric nxn matrix (in the form of LL"), the number of unknowns i given by Q4. In the iterative formula Gn+1 = D-'(C – AG„), what п (п - 1) n+4 n(n + 1) n+1 2 2 20 20 -1 -1 20 15 0 ( 20 -1 is the matrix A in ( -1 20 0 1 O 20 -1 1 20 1 -1 20 20 1 15 1 15/ 0 0 20 1 15 15. -5 Q5. What are the Eigen values of the matrix 2 A = -1,2 = -6 A = -1,2 = 6 A = 1,1 = -6 A = 1,2 = 6 A = 1, 2 = 4 2. 3.
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