Let , ² be the complex cube roots of unity. Let z₁, z₂, z, be complex numbers such that z₁+z₂+z3 = A z₁ + @z₂ +w²z₂ = B z₁+w²z₂ + wz₂ = C. a Evaluate z₁, 2, and z, in terms of A, B, and C.
Let , ² be the complex cube roots of unity. Let z₁, z₂, z, be complex numbers such that z₁+z₂+z3 = A z₁ + @z₂ +w²z₂ = B z₁+w²z₂ + wz₂ = C. a Evaluate z₁, 2, and z, in terms of A, B, and C.
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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Transcribed Image Text:Let @,
o² be the complex cube roots of unity. Let z₁, z₂, z3 be complex numbers such that
Z₁ + Z₂ + Z₂ = A
z₁ + @z₂ +w²z₂ = B
z₁+w²z₂ + @z, = C.
Evaluate z₁,z₂ and z, in terms of A, B, and C.
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