In class, I hinted that normal multiplication (of numbers) is commutative and that matrix multiplication is not commutative. (a) Explain what commutative means in the context of multiplication.  (b) Provide your own examples of matrix multiplication to show that matrix multiplication is not commutative.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter7: Systems Of Equations And Inequalities
Section7.7: Solving Systems With Inverses
Problem 1SE: In a previous section, we showed that matrix multiplication is not commutative, that is, ABBA in...
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In class, I hinted that normal multiplication (of numbers) is commutative and that matrix multiplication is not commutative.

(a) Explain what commutative means in the context of multiplication. 

(b) Provide your own examples of matrix multiplication to show that matrix multiplication is not commutative.

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