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(a) Find the modulus of z. (b) How many solutions does this equation have?

(a) Find the modulus of z. (b) How many solutions does this equation have?

Advanced Engineering Mathematics
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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Please do Q24 and use rules from 4.2.22 to help answer Q24

Exercise 4.2.24. Suppose that z is a complex number such that z z-1 = z. 4.2 ARITΗΜΕ ΤIC WITH COMPLEX NUMBERS 45 (a) Find the modulus of z. (b) How many solutions does this equation have?
Transcribed Image Text:Exercise 4.2.24. Suppose that z is a complex number such that z z-1 = z. 4.2 ARITΗΜΕ ΤIC WITH COMPLEX NUMBERS 45 (a) Find the modulus of z. (b) How many solutions does this equation have?
Exercise 4.2.22. Prove each of the following propositions (follow the style of Proposition 4.2.21). (a) (2): (g) |리53 |2°| (*Hint *) = Z (b) z. w = zw (h) z-1 (*Hint*) |z|2 (c) If a is real, then az = az (d) |z| = || (i) |2-1| = (*Hint*) |z| (e) zz = |2|2 (j) (z)-1 = z-1 (f) |zw| = |2||w| (k) (zw)-1 = w-1z-1
Transcribed Image Text:Exercise 4.2.22. Prove each of the following propositions (follow the style of Proposition 4.2.21). (a) (2): (g) |리53 |2°| (*Hint *) = Z (b) z. w = zw (h) z-1 (*Hint*) |z|2 (c) If a is real, then az = az (d) |z| = || (i) |2-1| = (*Hint*) |z| (e) zz = |2|2 (j) (z)-1 = z-1 (f) |zw| = |2||w| (k) (zw)-1 = w-1z-1
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