SOLVED:Show that the elimination method of computing the value of the determinant of an n ×n matrix involves [n(n-1)(2 n-1)] / 6 additions and [(n1)(n^2 n 3)] / 3 multiplications and divisions. Hint: At the ith step of the reduction process, it takes n-i divisions to calculate the multiples of the ith row that are to be subtracted from the remaining rows below the pivot. We must then calculate new values for the (n-i)^2 entries in rows i 1 through n and columns i 1 through n.
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