Determine whether the following statements are True or False. a. The columns of an invertible n×nn×n matrix form a basis for Rn

Question

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.

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Ariana 3 weeks 2021-11-10T00:16:16+00:00 1 Answer 0 views 0

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    2021-11-10T00:17:37+00:00

    Answer:

    Step-by-step explanation:

    a.  True

    b.  False

    c. True

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

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