Consider the following matrices: 0 0 d11 d21 0 0 d12 d22 0 0 0 0 0 с 0 0 --- D 0 €11 €12 €13 0 €21 €22 €23 0 0 €31 €32 €33 Is it true that det (C) = c. det (D) det(E)? Justify your answer. 0 = d11 d12 d21 d22 e11 E = €21 e31 ). E €12 €13 €22 €23 €32 €33

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Detailed justifications are required!
Transcribed Image Text:Detailed justifications are required!
Consider the following matrices:
0 0
d11 d21 0 0
d12 d22 0 0 0
0 0 с 0 0
---
D
0 €11 €12 €13
0 €21 €22 €23
0 0 €31 €32 €33
Is it true that det (C) = c. det (D) det(E)? Justify your answer.
0
=
d11 d12
d21 d22
e11
E = €21
e31
). E
€12 €13
€22
€23
€32
€33
Transcribed Image Text:Consider the following matrices: 0 0 d11 d21 0 0 d12 d22 0 0 0 0 0 с 0 0 --- D 0 €11 €12 €13 0 €21 €22 €23 0 0 €31 €32 €33 Is it true that det (C) = c. det (D) det(E)? Justify your answer. 0 = d11 d12 d21 d22 e11 E = €21 e31 ). E €12 €13 €22 €23 €32 €33
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