Coordinate Systems

Question 1

Basis

Answer 1

a Set of functions that permits representing every element of the set V as a linear combination of other members of the set.

Question 2

Dimension

Answer 2

The number of functions in the basis (The minimum number of
descriptors that we can use in a
set to uniquely idenitfy any element in the set)

Question 3

Coordinates

Answer 3

The tuple of values associated to point to an element in a vector space

Question 4

Decompositions

Answer 4

Algorithms to find coordinate basis of a space with some desired mathematical properties.

Question 5

General Linear Model

Answer 5

A model for expressing linear models in the space of linear models. (The X coordinate is the gradient and the Y coordinate is the y-intercept)