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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.

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Answers (1)
  1. 8 April, 06:56
    0
    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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