Miscellaneous Problems а 0 00 0 b0 0 0 0 11. Using cofactor method, prove that det M = = abcd c 0 0 0 0 d a a? a³ a* 0 b? b³ b4 00 с3 с4 0 d4 12. Using cofactor method, prove that det N = = ab?c³d4 0 0 a b b² 0 13. Using cofactor method, prove that det N = = ab?c³d+ с с2 с3 0 d d? d³ d4

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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11 12 13

Miscellaneous Problems
a 0 0 0
0 b 0 0
00 с 0
0 0 0 d
11. Using cofactor method, prove that det M =
= abcd
a a? a³ a+
0 b? b3 b+
0 0 c3 c4
0 d4
12. Using cofactor method, prove that det N =
= ab?c³d4
0 0
a
b b2 0
13. Using cofactor method, prove that det N =
= ab?c³d*
%3D
с с2 с3
d d? d3 d4
Transcribed Image Text:Miscellaneous Problems a 0 0 0 0 b 0 0 00 с 0 0 0 0 d 11. Using cofactor method, prove that det M = = abcd a a? a³ a+ 0 b? b3 b+ 0 0 c3 c4 0 d4 12. Using cofactor method, prove that det N = = ab?c³d4 0 0 a b b2 0 13. Using cofactor method, prove that det N = = ab?c³d* %3D с с2 с3 d d? d3 d4
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