(a)(√2-i)-i(1 – √√2i) = −2i; (Ⓒ) (3, 1)(3, −1) (3, 1) = (2, 1). (c 5' 10 Show that (a) Re(iz) = - Im z; 3. Show that (1+z)² = 1 + 2z+z². 4.) Verify that each of the two numbers z = 1+ i satisfies the equation (b) (2, -3)(-2, 1) = (-1, 8); (b) Im(iz) = Rez.

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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1. Verify that
(a)(√2-i)-i(1-√√2i)
-1 (1-10)
5' 10
(c) (3, 1) (3, -1){
ive
Show that
(a) Re(iz) = - Im z;
= −2i;
= = (2, 1).
(b) (2, -3)(-2, 1) = (-1, 8);
(b) Im(iz) = Rez.
(3) Show that (1+z)² = 1 + 2z+z².
4.) Verify that each of the two numbers z = 1 ± i satisfies the equation z² - 2z+2 = 0.
Transcribed Image Text:1. Verify that (a)(√2-i)-i(1-√√2i) -1 (1-10) 5' 10 (c) (3, 1) (3, -1){ ive Show that (a) Re(iz) = - Im z; = −2i; = = (2, 1). (b) (2, -3)(-2, 1) = (-1, 8); (b) Im(iz) = Rez. (3) Show that (1+z)² = 1 + 2z+z². 4.) Verify that each of the two numbers z = 1 ± i satisfies the equation z² - 2z+2 = 0.
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