Mathematics

Jaylon Williams

8 April, 03:54

Determine whether the following statements are True or False.

a. The columns of an invertible n*nn*n matrix form a basis for RnRn.

b. If H=span{v1, ..., vp}H=span{v1, ..., vp}, then {v1, ..., vp}{v1, ..., vp} is a basis for HH

c. A single nonzero vector by itself is linearly dependent.

d. A basis is a spanning set that is as large as possible.