Determine if the set of vectors is a basis of R5. If not, determine the dimension of the subspace spanned by the vectors.

Question

{ [ -1 -1 1 -1 -1 ], [ 1 0 -1 -2 1 ], [ -2 -1 2 -1 -2 ], [ 2 -1 -2 -1 2 ], [ -1 -2 1 0 -1 ] }

Answer 1

columns 1,2 and 4 are linearly independent and form the basic, the dimension is 3

column 3 is -1 of column 1

column 5 is duplicate of column 1