Determine whether the following statements are True or False.

a. The columns of an invertible nnnn 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.

Question

24 April, 18:52

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Jairo Hatfield · Answer 1

Step-by-step explanation:

a. True

b. False

c. True

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