# The Core Idea of Linear Algebra

“Algebra” roughly translates to “relationships” and linear means “line-like,” thus “Linear Algebra” means “line-like relationships”.

## Algebra

So why does algebra from school seem to be just about letters rather than numbers.

In my head algebra is just about arranging and rearranging letters according to specific rules. However here is a way of looking at it.

Consider the equation below. You don’t know what value of the `x`

and the `y`

is.

`(x + y)² = x² + 2xy + y²`