Matrix Multiplication – How to Multiply Matrices and Avoid ERRORS!

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I'd first like an explanation of WHY matrices are used. How is the solution used?? Arithmetic, algebra, geometry, trigonometry, calculus, statistics... are all fairly self-explanatory. Before you need to know how to multiply matrices, you need to know why you would do so.

laurendoe
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Am I right in thinking that multiplication of matrices is non-commutative. ie, [matrix a][matrix b] yields a different result from [matrix b][matrix a]? Or is there some rule that determines the order they should be placed in?
My memory of matrices from schoolwork is almost completely gone. Only the memory of slogging through seemingly endless series of rough-book calculations remains.

dazartingstall
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Takes me back to school. I'd totally forgotten about operating with matrices. But then, I am 64! Thanks! 👍

Poult
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Great lesson i just remember how to solve the matrix !!!

smbsmb
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We touched on matrices briefly in school. It seemed that even the teacher didn't know how these things were useful.

TheSimCaptain
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The question is why would you want to do this?

tikaanipippin