The task is that I have to determine whether this statement is true, to prove my guess by an example, and to explain why:


  Given a matrix A, then:
  To multiply a row in matrix A by a scalar k is the same as dividing some row by a nonzero scalar.


I guess the statement is correct.  And I think it's because instead of multiply a row by a scalar k, I could just divide that row by 1/k ...

But somehow I think my thought is too "good". I think if they go thru the trouble of asking me to explain, then there maybe something more to it.  I guess the words "some row" somewhat confuse me.  Also, I'm assuming that by how they ask the question, I'm not allowed to switch or to add any 2 rows. So I can't use the idea of pivoting ...

So would someone please tell me if my thought is correct?
Thank you very much ^_^


Question: How to know BMW e46 AC type
Answer: From this PDF, it shows the difference and it's pretty easy to see.

This is the IHKA control in the e46. It is an automatic control.



This is the IHKR control in the e46 (with the radio above it). It is a manual control.