# 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

https://brainmass.com/math/matrices/matrix-row-and-column-addition-by-matrix-multiplication-427050

#### 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.

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