The dimensional matrix is M = [ 1 0 1 0 1 − − 1 ] in which the rows correspond to the basis dimensions L and T , and the columns to the considered dimensions L , T , and V , where the latter stands for the speed dimension. The elements of the matrix correspond to the powers to which the respective dimensions are to be raised. For instance, the third column ( 1 , − − 1 ) , states that V = L 0 T 0 V 1 , represented by the column vector v = [ 0 , 0 , 1 ] , is expressible in terms of the basis dimensions as V = L 1 T − − 1 = L / T , since M v = [ 1 , − − 1 ] .