Using the vectorial representation of complex numbers it is possible to get some interesting inequalities. (a) Is

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Using the vectorial representation of complex numbers it is possible to get some interesting inequalities.

(a) Is it true that for a complex number z = x + jy we have that ∣x∣ ≤ ∣z∣? Show it geometrically by representing z as a vector.

(b) The so called triangle inequality says that for any complex (or real) numbers z and v we have that ∣z + v∣ ≤ ∣z∣ + ∣v∣. Show this geometrically.

(i) |z + v| ≤ |z| + |v|? (ii) |z − v| ≤ |z| + |v|?

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Signals and Systems using MATLAB

ISBN: 978-0123948120

2nd edition

Authors: Luis Chaparro

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Question Posted: Mar 13, 2020 09:28 AM

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Using the vectorial representation of complex numbers it is possible to get some interesting inequalities. (a) Is

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a Representing the complex number z x jy ze j then x z cos a...View the full answer

Signals and Systems using MATLAB

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