Exercise 4.2.23. Simplify the following expression: (z + iz)(z – iz) + *(z )(z 2)
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)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F892e817a-9b32-4eeb-b8fc-5dd7ffde6479%2Fa4de103b-9d96-495a-9496-28b53a3a1e87%2F1rs79ba_processed.png&w=3840&q=75)
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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