Definitions Flashcards
1
Q
What is a basis?
A
A basis is a set of vectors that are used to express the coordinates of vectors located in a given vector space.
A larger set would include a dependent vector.
2
Q
What happens when we linearly combine the vectors of a basis?
A
The combination can be 0 only with all 0 coefficients, since the vectors in a basis are independent.
3
Q
How can we know the dimension of the vector space?
A
By looking at the number of vectors in the basis.
