Basis (linear algebra)

In linear algebra, a basis is a minimal set of vectors that uniquely define all other vectors in a space. Think of it as the fundamental building blocks from which every vector in that space can be constructed through combinations, like mixing ingredients to create various dishes. The basis vectors are linearly independent, meaning no one is redundant. For example, in 2D space, two perpendicular directions (like the x and y axes) form a basis, allowing you to reach any point in the plane by scaling and adding these directions.