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can someone help me with this question?

question:

Given a 2 × 2 invertible matrix, we have seen we can write it as a product of elementary matrices. What is the largest amount of elementary matrices required? Give an example of a matrix that requires this number of elementary matrices.

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  • $\begingroup$ What do you mean by an elementary matrix? $\endgroup$
    – Arthur
    Oct 26, 2016 at 1:03
  • $\begingroup$ it is a matrix obtained by performing operations on the identity matrix $\endgroup$
    – matheu96
    Oct 26, 2016 at 1:06
  • $\begingroup$ Which operations? Change in rows, multiplication of a row by a constant, and sum of two rows? $\endgroup$
    – Arthur
    Oct 26, 2016 at 1:08
  • $\begingroup$ yes, those operations $\endgroup$
    – matheu96
    Oct 26, 2016 at 1:21
  • $\begingroup$ I recently answered this question for another user. You can find the discussion here: math.stackexchange.com/q/1985411 $\endgroup$
    – DCarter
    Oct 27, 2016 at 22:47

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