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Math Help - Matrix Mutliplication (Number of operations)

  1. #1
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    Matrix Mutliplication (Number of operations)

    Hey guys,

    This is a question i think fits into L+AA subforum, if not, I do apologise!

    I have two n by n matrices, A and B. I need to specify the "number of operations" so I'm thinking (hoping) that will involve some sort of algebraic expression.

    I've found so far:-

    2x2 = 12 operations
    3x3 = 45
    4x4 = 112
    5x5 = 225

    Rubbish. All rubbish. Can anyone help me out?
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  2. #2
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    Quote Originally Posted by exphate View Post
    Hey guys,

    This is a question i think fits into L+AA subforum, if not, I do apologise!

    I have two n by n matrices, A and B. I need to specify the "number of operations" so I'm thinking (hoping) that will involve some sort of algebraic expression.

    I've found so far:-

    2x2 = 12 operations
    3x3 = 45
    4x4 = 112
    5x5 = 225

    Rubbish. All rubbish. Can anyone help me out?
    Number of what kind of operations? There are only three elementary operations.
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  3. #3
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    Sorry, what I mean is...

    How many times you have to multiply and add to get AxB.

    So for each element of a 2x2 AB, you have 3 operations (2 multiplications and 1 addition)
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