Question

Vector space can have two or more sets (of vectors) as a set of basis Vectors.

true or false?​

Answer 1

FALSE

Every vector space has a finite basis. (d) A vector space cannot have more than one basis. ... (i) If S generates the vector space V, then every vector in V can be written as a linear combination of elements of S in only one way. (j) Every subspace of a finite-dimensional space is finite-dimensional.