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.

Step-by-step explanation:

a.  True

b.  False

c. True

d. False. when its too large then it can no longer be linearly dependent

(2,20) means that the 2 is 2 hours and 20 is 20$. so there both 20$ for 2 hours only the same price. like it says. so, the dunk tank and the bounce house are the same price (20$) for the same amount of time (2 hours).

hope i