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yoss15

  • 3 years ago

How do you show that a set of vectors from the basis of R^3?

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  1. yoss15
    • 3 years ago
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    The questions specifically asks about v1=[-1, 0, 3] v2 = [-1, 1, 0] and v3= [0, 1, 2]

  2. yoss15
    • 3 years ago
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    I know that it must be a spanning set and linearly independent and I know how to show it is linearly independent, I just don't know how to show it is a spanning set.

  3. mathTalk
    • 3 years ago
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    aahh

  4. yoss15
    • 3 years ago
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    Sorry, that is above my head, we haven't done determinants

  5. mathTalk
    • 3 years ago
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    Take any point in R3 say (15, 14,-3) k1v1+k2v2+k3v3 = (15,14,-3) k1[-1, 0, 3]+ k2[-1, 1, 0] + k3[0, 1, 2] (-k1-k2,k2+k3,3k1+ 2k3) = ( 15,14,-3) solve for k1 k2 k3 you must get them

  6. yoss15
    • 3 years ago
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    OK I think I get that

  7. mathTalk
    • 3 years ago
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    k1 k2 k3 are scalars ?

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