SOLUTION: I am a bit overwhelmed by the complexity of this question. Please help me to understand and answer the question. If matrix A is transformed into matrix B by means of an element

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Question 176742: I am a bit overwhelmed by the complexity of this question. Please help me to understand and answer the question.
If matrix A is transformed into matrix B by means of an elementary row operation, is there an elementary row operation that transforms B into A?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
There are three elementary row operations:

1. Switching the position of two rows. Obviously, you can just switch them back again.

2. Multiplying each element of a row by a non-zero constant. Just multiply that row by the reciprocal of the non-zero constant.

3. Replacing a row with the sum of that row and a multiple of another row. Just subtract the multiple again.

So, the answer to your question is yes.