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Exercise 4.2.23. Simplify the following expression: (z + iz)(z – iz) + *(z )(z 2)

Exercise 4.2.23. Simplify the following expression: (z + iz)(z – iz) + *(z )(z 2)

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 Q23 and please show step by step and use the rules from 4.2.22 to answer Q23

Exercise 4.2.22. Prove each of the following propositions (follow the style of Proposition 4.2.21). (a) (2) (g) |리8 3 12°| (*Hint*) = Z (b) z. w = zW -1 (h) z (*Hint*) |z|2 (c) If a is real, then az = az 1 (i) ]2-1| = (*Hint*) |z| (d) |z| = |2| (e) zz = |z|? (j) (z)-1 = z-1 (f) |zw| = |z||w| (k) (zw)-1 = w-1z-1 Exercise 4.2.23. Simplify the following expression: (z + iz)(z – iz) + *(2 – 2)(z + 2)
Transcribed Image Text:Exercise 4.2.22. Prove each of the following propositions (follow the style of Proposition 4.2.21). (a) (2) (g) |리8 3 12°| (*Hint*) = Z (b) z. w = zW -1 (h) z (*Hint*) |z|2 (c) If a is real, then az = az 1 (i) ]2-1| = (*Hint*) |z| (d) |z| = |2| (e) zz = |z|? (j) (z)-1 = z-1 (f) |zw| = |z||w| (k) (zw)-1 = w-1z-1 Exercise 4.2.23. Simplify the following expression: (z + iz)(z – iz) + *(2 – 2)(z + 2)
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