Consider the nxn Hilbert matrix defined by 1 H = 1 13 1 n n+1 1 3 1 4 1-n 1 n+1 n+2 1 n+2 1 2n-1 Express the individual entries hij in terms of i and j.
Consider the nxn Hilbert matrix defined by 1 H = 1 13 1 n n+1 1 3 1 4 1-n 1 n+1 n+2 1 n+2 1 2n-1 Express the individual entries hij in terms of i and j.
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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The answer is
hij = 1/(i+j−1)
Could you please show the steps?
Transcribed Image Text:1.2.14. Consider the nxn Hilbert matrix defined by
111
H
||
-
انت
111
n
T1
1-2
n
n+1
n+2
1
n+1
n+2
2n-
Express the individual entries hij in terms of i and j.
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