(Linear) Vector Spaces: A quick review

A linear vector space is a set V that is closed under finite vector addition and scalar multiplication. By closed we mean that after finite vector addition and (or) scalar multiplication of any number of vectors belonging to that space,

Scalars and Vectors

Scalar: A quantity that can be specified fully by mentioning its magnitude(or value). For example, saying 350 K completely specifies the temperature to be 350 Kelvin and 300,000,000 m/s specifies the speed of light(approx.). Vector: A quantity that can only be