Question 4 et j = e²in¹/³ where i = √-1. We consider the set of equations: x+y+z = a x + jy +j²z = b <+j²y + jz = c where a, b, c are three complex numbers. The complex number j satisfies the condition:

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Question 4
Let j = ²in¹/³ where i = √-1. We consider the
set of equations:
x+y+z = a
x + jy + j²z = b
x + j²y+jz = c
where a, b, c are three complex numbers. The
complex number j satisfies the condition:
Transcribed Image Text:Question 4 Let j = ²in¹/³ where i = √-1. We consider the set of equations: x+y+z = a x + jy + j²z = b x + j²y+jz = c where a, b, c are three complex numbers. The complex number j satisfies the condition:
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