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.]

L16 - 10 ex. In a chemical reaction involving materials A and B resulting in product C, A and B are reactants and C is the product.T e concentration of reactant A in moles per liter is denoted [ A]. Since concentration varies during reaction, [A], [B], and [eucisfi . Average rate of reaction on 1t 2i ]s ∆[C] [C](t2)...