Show that the elimination method of computing the value of the determinant of an n n
Chapter 2, Problem 21(choose chapter or problem)
Show that the elimination method of computing the value of the determinant of an n n matrix involves [n(n 1)(2n 1)]/6 additions and [(n 1)(n2 + 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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