C be the matrix defined as a₁ an C = a-1 9₂ az az a a₂ a, a az a4 1 A an an-l an-2 a₁
C be the matrix defined as a₁ an C = a-1 9₂ az az a a₂ a, a az a4 1 A an an-l an-2 a₁
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
Transcribed Image Text:Let C be the matrix defined as
an
a₁
az az
an-l
www
an
a₁a₂
an
a
an-2
***
C = 9-1
:
OF
a₂
az a4
a₁
Let f(x)= a₁ + a₂x + a₂x² + ··· + a„x”¯¹. Let a,,i=1 to n be the nth (complex) roots of unity. Find the
value of C in terms of f(a,), i = 1, 2,..., n.
***
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