[5+7i] 3+4i b) A (2+9i) [5+7i 3+4i

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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b) A
5+7i
3+4i
|= (2+9i)
[5+7i]
+ +
3+4i
Transcribed Image Text:b) A 5+7i 3+4i |= (2+9i) [5+7i] + + 3+4i
1) For the following matrices A:
J₁0 0
.. 0
i) Write A in the form BAB¯¹, with A = 0
0
where J, =[^] with λ real OR J
=
0 J₁
t
b
[1]
-b
ii) Describe what A is doing in the basis whose members are the columns of B:
with a and b real;
Transcribed Image Text:1) For the following matrices A: J₁0 0 .. 0 i) Write A in the form BAB¯¹, with A = 0 0 where J, =[^] with λ real OR J = 0 J₁ t b [1] -b ii) Describe what A is doing in the basis whose members are the columns of B: with a and b real;
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