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Performing the indicated column operations (where [C.sub.i] [right arrow] [C.sub.i] [right arrow] [C.sub.1] indicates the column operation of subtracting the 1st column from the ith column, 2 [less than or equal to] i [less than or equal to] n), we get
We perform the indicated column operations (where [C.sub.1] [right arrow] [C.sub.1] + C2 + ::: + Cn indicates the operation of adding all the columns and then replacing the 1st column by that sum, and [C.sub.1] [right arrow] 1 / [C.sub.1] + C2 + ...
To prove the result for n+1, we consider the determinant of order n+1, and perform the indicated column operations (where [C.sub.1] [right arrow] [C.sub.1] + [C.sub.n] indicates the operation of adding the n - th column to the 1st column to get the new 1st column), to get
In this case, starting with the determinant [B.sub.n] = [B.sub.2m], we perform the indicated column operations.
We perform the indicated row and column operations to reduce the determinant
Such analysis can be performed by packed column or capillary column operations
using appropriate apparatus, both procedures having particular advantages, but when the proportion of "non normal" or iso alkane hydrocarbon is high, the latter technique, using "cold on column" injection finds favor, due to inherently greater resolving power.