Show that [1 1 0 0 1 1 0 001 1 0 det⠀⠀⠀⠀ ⠀⠀⠀⠀ 000 0 100 0 001 00 00 ⠀ ⠀| = 1+ (−1)n+1. ⠀⠀ 1 1 0 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
[1 1 0
0
1 1
0
0 1
det⠀⠀⠀
0... 0 07
00
00
0
1
⠀⠀⠀ ⠀
000 0
100 0
...
...
⠀ ⠀| = 1+ (−1)n+¹.
⠀⠀
1 1
01
Transcribed Image Text:Show that [1 1 0 0 1 1 0 0 1 det⠀⠀⠀ 0... 0 07 00 00 0 1 ⠀⠀⠀ ⠀ 000 0 100 0 ... ... ⠀ ⠀| = 1+ (−1)n+¹. ⠀⠀ 1 1 01
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