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

answer: on graphs, the open and closed circles, or vertical asymptotes drawn as dashed lines us identify discontinuities.

as before, graphs and tables allow us to estimate at best.

when working with formulas, getting zero in the denominator indicates a point of discontinuity.

when working with piecewise-defined functions, check for discontinuities at the transition points where one piece ends and the next begins.

step-by-step explanation: