Four points in a three-dimensional space have coordinates (x i , y i , z i )
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Four points in a three-dimensional space have coordinates (xi, yi, zi) for i = 1, . . . , 4. From the rank of the matrix
determine whether the points lie on a plane or a line or whether there are other possibilities.
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Rank 4 implies that the four rows are independent and therefore the geometrical interpretation is the points are not coplanar Rank 3 says that the four rows are linearly dependent and there ...View the full answer
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