Question

What is the definition of basis?

Answer 1

A set of independent vectors whose linear combinations define a vector space, such as a reference frame used to establish a coordinate system.

Answer 2

Answer:

basis is nothing but a subset of V where V is vector space. it means it has to follow some conditions. there are two conditions:-

1- linear independence property

2- the spanning property

there are many properties related to basis which you can see in your notebook.