what is the terms when you have a set of vectors describing a space?
where no vector can be described by any combination of the other vectors
where no vector can be described by any combination of the other vectors
Al P
Favorite Answer
An orthogonal basis for the vector space.
A system of N mutually orthogonal basis vectors
that "describe" and span the vector space.
The Cartesian basis vectors:
V = (100, 010, 001)
are linearly independent: any component
vector in the space cannot be created by
combining the other two. Or more, in the
case of N dimensions.
The following basis would not be orthogonal:
V = (111,222,333)
jackdaniel01
Those vectors are linearly independent.