Finding A^3: Multiplication of Matrices

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The discussion centers on the multiplication of matrices, specifically the calculation of A^3, which involves multiplying matrix A by itself three times. Participants clarify that while matrix multiplication is not commutative, it is associative, allowing for flexible parenthesization in calculations. The distinction between commutativity and associativity is emphasized as crucial for understanding matrix operations.

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EvLer
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Hi everyone,
I know that multiplication of matrices is not commutative, then let's say I am asked to find A^3 how would I do that:
A * A * A = (A * A) * A, i.e. first in the parenthesis and then the last one?

Thanks.
 
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However, matrix multiplication is associative: you can parenthize however you like.
 
OoooK, thanks, that's what I have been trying to distinguish: commutativity and associativity.
 

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