zN-1 = (z-5°)(z-GN-1). Exercise 5. 1. By computing the coefficient of zN-1 on the right hand side of the above equation, show that the sum of Nth roots of unity is equal to 0. 2. (This one is harder) Compute the coefficient of zN-2 on the right-hand side of the above equation. What property of the N'th roots of unity can you conclude from this?
zN-1 = (z-5°)(z-GN-1). Exercise 5. 1. By computing the coefficient of zN-1 on the right hand side of the above equation, show that the sum of Nth roots of unity is equal to 0. 2. (This one is harder) Compute the coefficient of zN-2 on the right-hand side of the above equation. What property of the N'th roots of unity can you conclude from this?
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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