hey yawho if u rly wish to know, i added it in becoz i thought knowing more what be better than knowing less, my explanation was directed at 1i1ii1i and if he/she didnt understand i assume he/she would ask what it was, then i would explain further. 
Also I assumed that a student who really cares about their mathematics education would go and proactively look up certain definitions on google/wiki etc
so is learning something beyond vce rly that harmful? 
if you personally didnt know what it meant then shudnt u take the opportunity and ask what it means and further your knowledge rather than dismissing it as "confusing" and restricting yourself?
Yes I have heard and used 'infinitely many solutions or no solutions', but not 'the reduced row echelon form'. So why not just say solution form? 
It's irrelevant though, you can say whatever you want, but the key words are that it's got infinitely many or no solutions. 
Of course it is relevant. If one tries to explain why would one use a different 'language' to cause confusion?
different "language" wdf u talking abt dude, are u saying when you first heard the word "modulus" you immediately dismiss it rather than go and learn what it means?