Not quite sure, could someone kindly explain the concept of the topic to me? Thanks, it really means a lot. :)
I'm still in Secondary School, so no courses, apart from school itself.That's asking a lot! (We should get you to explain "the concept" of biology.) Before we try this explanation, could you tell us you background in mathematics? What courses have you already taken?
Yes. I've done indices 2, nth terms, volume, surface area, sequences and we've just started loci.Can we assume you have done some simple algebra problems, like solving 3x + 1 = 7 ?
Thank you for the explanation."Abstract algebra" is essentially the study of "finite operations"- that is, operations like you do in solving simple equations (like the one Stephen Tashi gives). It includes all arithmetic operations but in a more "abstract" way- looking at general properties rather than specific numbers or operations.
"Linear algebra" is a subset of "abstract algebra" but important enough to be considered separately. It looks specifically at those operations we consider "linear". Again, the equation Stephen Tashi gives is linear. The only operations we need to consider are adding and subtracting and multiplying by numbers. That would include, say 3x+ 4y but not [itex]x^2[/itex], [itex]y^2[/itex], or [itex]xy[/itex].