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Math Help - Which of two the following three sets is a basis of R3?

  1. #1
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    Which of two the following three sets is a basis of R3?

    5. Which of two the following three sets is a basis of R3?


    B1 = {(1, 0, 1), (6, 4, 5), (4, 4, 7)}
    B2 ={(2, 1, 3), (3, 1, 3), (1, 1, 9)}
    B3 ={(3, 1, 2), (5, 1, 1), (1, 1, 1)}
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  2. #2
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    Re: Which of two the following three sets is a basis of R3?

    Any basis, for a vector space of dimension n, has three properties:
    1) The vectors span the space.
    2) The vectors are independent.
    3) There are n vectors in the set.

    Further, any two of those is sufficient to prove the third.
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