Algebra

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Need to find the sizes of the product AB and the product BA whenever these exist. We are given A and B

A is 4 x 3, B is 3 x 6

  • Matrices -

    I assume these are the sizes of matrices.

    A is 4x3 meaning that there are 4 rows and 3 columns.
    ***
    ***
    ***
    ***
    B is 3x4 meaning that there are 3 rows and 4 columns
    ####
    ####
    ####

    A matrix product is meaningful (exists) if and only if the number of columns of the first matrix equals the number of rows of the second matrix, i.e.
    Apq X Bqr = Cpr

    While Bqr X Apq does not exist unless r=q.

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