Consider the following tridiagonal system: (1 1 0 0 1 -1 1 0 0 1 1 1 X2 X3 0 0 1 -1 The diagonal elements (d1, d2. d3. da) after the forward elimination step are (1). [2]. [3). [4). The solution (x1, x2,X3,x4) to the above system after backward substitution is ((5). (6). [7). [8). Note: Use 3 decimal places in your calculation.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
Problem 15AEXP
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Question 3
Consider the following tridiagonal system:
(1 1 0 0
1 -1 1 0
0 1 1 1
(o o 1-1,
X2
X3
The diagonal elements (d1, d2. d3, d4) after the forward elimination step are
(1. [2). [3). [4).
The solution (x1, x2,×3,×4) to the above system after backward substitution is
(15). (6). [7). [8).
Note: Use 3 decimal places in your calculation.
Transcribed Image Text:Question 3 Consider the following tridiagonal system: (1 1 0 0 1 -1 1 0 0 1 1 1 (o o 1-1, X2 X3 The diagonal elements (d1, d2. d3, d4) after the forward elimination step are (1. [2). [3). [4). The solution (x1, x2,×3,×4) to the above system after backward substitution is (15). (6). [7). [8). Note: Use 3 decimal places in your calculation.
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