anonymous
  • anonymous
.which of the following are spanning sets for R3. {(2,1,-2)transpose (3,2,-2)transpose (2,2,0)transpose} solution plz
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
Well, that's only one set. Do you mean to ask if that is a spanning set of R3?
anonymous
  • anonymous
yes plz show with solution
anonymous
  • anonymous
How many linearly independent vectors do you need to span R3?

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anonymous
  • anonymous
i dont know perhaps three
anonymous
  • anonymous
That is correct. Now, what do you know about the determinant of a matrix that has linearly dependent columns?
anonymous
  • anonymous
no
anonymous
  • anonymous
Well, that wasn't really a yes or no question...
anonymous
  • anonymous
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.
anonymous
  • anonymous
thank you

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