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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
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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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Well, that's only one set. Do you mean to ask if that is a spanning set of R3?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0yes plz show with solution

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0How many linearly independent vectors do you need to span R3?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0i dont know perhaps three

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0That is correct. Now, what do you know about the determinant of a matrix that has linearly dependent columns?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Well, that wasn't really a yes or no question...

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0But 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.
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