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

Mathematics
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Well, that's only one set. Do you mean to ask if that is a spanning set of R3?
yes plz show with solution
How many linearly independent vectors do you need to span R3?

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

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