Show that det [1 1 0 0 1 1 0 0 001 0 0 0 1... 0 0 ⠀⠀⠀ 0000 1000 0 0 ... 1 1 01 = 1+ (-1)"+1.

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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Question
Show that
det
[1 1 0
1 1
0
001
0
0 0 0
0... 00
1... 0 0
⠀⠀⠀
0000
1000
...
1 1
01
= 1+ (-1)"+¹.
Transcribed Image Text:Show that det [1 1 0 1 1 0 001 0 0 0 0 0... 00 1... 0 0 ⠀⠀⠀ 0000 1000 ... 1 1 01 = 1+ (-1)"+¹.
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