Let M₂ (R) be the set of all 2 x 2 matrices over R. Let + denote the usual addition of matrices and the usual multiplication of matrices. Verify that the given binary operator is binary and identify whether it is commutative, associative or both.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.6: Matrices
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Let M₂ (R) be the set of all 2 x 2 matrices over R. Let + denote the usual addition of matrices and the
usual multiplication of matrices. Verify that the given binary operator is binary and identify whether it is
commutative, associative or both.
Transcribed Image Text:Let M₂ (R) be the set of all 2 x 2 matrices over R. Let + denote the usual addition of matrices and the usual multiplication of matrices. Verify that the given binary operator is binary and identify whether it is commutative, associative or both.
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