Let V be the set M2,2 with the usual scalar multiplication, but with addition defined by A

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Let V be the set M2,2 with the usual scalar multiplication, but with addition defined by A + B = O2,2 for all 2 × 2 matrices A and B. Determine whether or not V is a vector space with these operations.

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Linear Algebra

ISBN: 9780982406212

1st Edition

Authors: Jim Hefferon

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Question Posted: Jun 01, 2016 02:38 AM

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Let V be the set M2,2 with the usual scalar multiplication, but with addition defined by A

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Since scalar multiplication remains unchanged we only need to consider the axioms th...View the full answer

Linear Algebra

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