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anonymous

  • 4 years ago

.which of the following are spanning sets for R3. {(2,1,-2)transpose (3,2,-2)transpose (2,2,0)transpose} solution plz

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  1. anonymous
    • 4 years ago
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    Well, that's only one set. Do you mean to ask if that is a spanning set of R3?

  2. anonymous
    • 4 years ago
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    yes plz show with solution

  3. anonymous
    • 4 years ago
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    How many linearly independent vectors do you need to span R3?

  4. anonymous
    • 4 years ago
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    i dont know perhaps three

  5. anonymous
    • 4 years ago
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    That is correct. Now, what do you know about the determinant of a matrix that has linearly dependent columns?

  6. anonymous
    • 4 years ago
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    no

  7. anonymous
    • 4 years ago
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    Well, that wasn't really a yes or no question...

  8. anonymous
    • 4 years ago
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    But the determinant of such a matrix is zero. So how about we arrange those three vectors in the columns of a matrix, and then take the determinant? If it's zero, then they are linearly dependent, so they are NOT a spanning set. Otherwise, we're good to go.

  9. anonymous
    • 4 years ago
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    thank you

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