Let C be the set of complex numbers Define addition on C by (a bi) (c di) (a c) (b d)i and define scalar multiplication by (a bi) a bi for all real numbers a Show that C is a vector space with these operations ...

To show that C is a vector space we must show that al ...

Let C be the set of complex numbers. Define addition on C by (a + bi) +

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Let C be the set of complex numbers. Define addition on C by
(a + bi) + (c + di) = (a + c) + (b + d)i
and define scalar multiplication by
α(a + bi) = αa + αbi
for all real numbers a. Show that C is a vector space with these operations.

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Linear Algebra with Applications

ISBN: 978-0131857858

7th edition

Authors: Steven J. Leon

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Question Posted: Jun 13, 2016 12:49 AM

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Let C be the set of complex numbers. Define addition on C by (a + bi) +

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Linear Algebra with Applications

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