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    Matrix Row and Column Addition by Matrix Multiplication

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    Please see the attachment.

    Let E = (See attachment) and let A be an arbitrary 3x3 matrix.

    a. Describe the rows of EA in terms of the rows of A
    b. Describe the columns of AE in terms of the columns of A

    © BrainMass Inc. brainmass.com March 4, 2021, 11:29 pm ad1c9bdddf


    Solution Preview

    We have

    ( 1 0 0 ) (a_11 a_12 a_13) ( a_11 a_12 a_13 )
    EA = ( 0 1 0 ) (a_21 a_22 a_23) = ( a_21 a_22 a_23 )

    Solution Summary

    This solution shows the effect of left and right multiplication by a simple matrix on the rows and columns of the original matrix.