10. Use i = (0, 1) and y = (y, 0) to verify that -(iy) = (-i)y. Thus show that the addi- tive inverse of a complex number z = x+iy can be written -z = -x-iy without ambiguity.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.5: Other Types Of Equations
Problem 56E
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10. Use i = (0, 1) and y = (y, 0) to verify that -(iy) = (-i)y. Thus show that the addi-
tive inverse of a complex number z =x+iy can be written -z = -x - iy without
ambiguity.
Transcribed Image Text:10. Use i = (0, 1) and y = (y, 0) to verify that -(iy) = (-i)y. Thus show that the addi- tive inverse of a complex number z =x+iy can be written -z = -x - iy without ambiguity.
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