Question

Explain why the following sets of vectors are not basis for the indicated vector spaces. (Solve this problem by inspection.)

Answer 1

a.This set of vectors are not basis for vector space for two-dimentional space R2 due to high number of vectors (3). It means three vector is two much to span 2-dimentional space.

b.This set of vectors are not basis for vector space for three-dimentional space R3 due to small number of vectors (2). It means two vector can't span three-dimentional space.