These problems don't make sense as written or I don't understand the terminology.
What row is modified to become 2R1 - R3 ?
-1 2 R1
0 4 R2
6 3 R3
-3 -4 R4
Then I suppose you want to subract 2r1-r3
= -8 1
So the matrix at the end will be:
Let me know if it is wrong or correct.
Jenny (a regular poster) explained the terminology
2R1 - R3 means that we want to multiply R1 by 2, subtract R3 from this and put the result in R3
2R1 = -2 4
Subtracting R3 from this gives us -8 1
So....the resulting matrix is :
-3 -4 just as the Guest found !!!!
BTW.....the more clear terminology should be 2R1 - R3 → R3
Why couldn't it mean .. Put the result in R1 ?
That is how I would have interpreted it.
But I am also in agreement with others that the question is incomplete.
It could mean either one.
As an addendum to this......look at the explanation of this notation near the bottom of these answers :
JennyLove was instructed to proceed in this manner ......
[ I still believe that this is faulty !!! ]
whoever is teaching this notation needs to be flogged.
whatever happened to good old elementary matrices?
I suppose they are out of fashion
When I was at school (a very long time ago)
Correct terminology and strict setting out was all important.
Now it seems children are often allowed, even encouraged, to scribble their answers on ipads etc, setting out is too diffiult on these media so it has been at least partially thrown away.
Poor notation is just an extension of this.
Young teachers cannot teach good proceedures if they were never taught them in the first place.