Is ABCDEF = AB(C(D))EF for matricies

Thread starter eax
Start date Sep 15, 2005
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Matricies

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The discussion confirms that ABCDEF equals AB(C(D))EF for matrices, as well as ABCD(EFGH) equaling ABCDEFGH. Both statements are true due to the associative property of matrix multiplication. The associative property allows for the grouping of matrices in any order without changing the product. However, there is some confusion regarding the notation C(D) in the context of matrix multiplication. Overall, the key takeaway is the affirmation of the associative nature of matrix multiplication.

Sep 15, 2005

eax

is ABCDEF = AB(C(D))EF for matricies? Also is ABCD(EFGH) = ABCDEFGH?

Thanks in advance!

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Sep 15, 2005

EnumaElish

Science Advisor

eax said:

is ABCDEF = AB(C(D))EF for matricies? Also is ABCD(EFGH) = ABCDEFGH?

"Yes" to both, although I am not sure what C(D) means in terms of matrix multiplication.

Sep 16, 2005

HallsofIvy

Science Advisor

Homework Helper

Yes, multiplication of matrices is "associative".

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