8. Let n > 2. Consider the n x n symmetric tridiagonal matrix over R c10 0 1 0 0 1 ... 1 ... с 1 An = %3D 0 0 0 0 0 0 0 0 1 с 1 0 0 1 с 1 ... 0 0 1 ... where c E R. Find the determinant of An.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Question
8.
Let n > 2. Consider the n x n symmetric tridiagonal matrix
over R
c10 0
1 0
с 1
...
1
...
0 1
%3D
0 0 0
0 0 0
0 0 0
1
с 1 0
...
0 1
с 1
...
0 0 1
...
where ce R. Find the determinant of An.
Transcribed Image Text:8. Let n > 2. Consider the n x n symmetric tridiagonal matrix over R c10 0 1 0 с 1 ... 1 ... 0 1 %3D 0 0 0 0 0 0 0 0 0 1 с 1 0 ... 0 1 с 1 ... 0 0 1 ... where ce R. Find the determinant of An.
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