Chapter 6.2, Problem 35E

To determine

(a)

To find:

The formula $H\left(n\right)$, for the number of $\left(2\times 2\right)$ determinants necessary to find $\det \left(A\right)$ for an arbitrary $n$.

To determine

(b)

To find:

The time it takes to evaluate $H\left(n\right)$ determinants of order $\left(2\times 2\right)$ when $n=2$, $n=5$, and $n=10$.