# Linear Algebra: The not so obvious maths

Not many know about Linear algebra (LA in short) so let me introduce it by asking a simple question

If A(x-y)=0 then will you accept that a=0 or x=y?

Probably 90% of people would say yes. That is because you will take A, x and y to be numbers or variables taking real values. But is it always true?
Now let me give you a trivial example:

As you can see A is not a zero matrix. x is not equal to y. But A(x-y)=0. This will be quite a shock! and takes some time to sink in. However if you think a little you will figure out the assumption you made. We take many things for granted in maths that is because we always dealt with real and simple scalar maths.
LA helps in understanding the world of maths from a general and broad perspective where every statement needs to be proved or justified. The theorems and statements in LA are true in any dimension with complex values. But the interesting part is that LA makes many real life problems simpler.

I truly liked LA and in this post I would like to thank our LA lecturer Dr.Hamsapriye and all the LA elective students of 5th sem ECE dept, RVCE.