Question

ı didnt understand basis and dimension. can someone help me? :)

Answer 1

can you hve an example?

Answer 2

gve*

Answer 3

do you know linear algebra
?

Answer 4

vector space = set of vectors that satisfy certain conditions.
eg : R^3

basis = smallest set of vectors that can generate a vector space by linear combination
eg: {(1,0,0), (0,1,0), (0,0,1)}

dimension = number of vectors in basis
eg: 3 vectors in the example, so dimension = 3

vector space and basis's definition should be more rigorous than stated, but it gives you the feeling what it is.

Answer 5

Here is how I understand basis & dimension:
Basis vectors must be independent vectors and if so then the dimension of the matrix containing the vectors is = # of basis.
Ex. if A is a 3x3 identity matrix, then the following is true:
basis of A = dim(C(A)) = rank(A) = 3