(a) Suppose A̅ is obtained from A by applying an elementary row operation. Let C = AB, where B is any matrix of the appropriate size. Explain why C̅ = A̅B can be obtained by applying the same elementary row operation to C. 

(b) Illustrate by adding −2 times the first row to the third row of  and then multiplying the result on the right by

Check that the resulting matrix is the same as first multiplying AB and then applying the same row operation to the product matrix.

Transcribed Image Text:

A = 2-1 2 -4 1 2-3 0 1