Chapter 8.4, Problem 103E

To determine

(a)

To find:

The determinant of the given matrix $\left[\begin{array}{cc}7& 0\\ 0& 4\end{array}\right]$.

To determine

(b)

To find:

The value of $\left|B\right|$ where $B=\left[\begin{array}{ccc}-1& 0& 0\\ 0& 5& 0\\ 0& 0& 2\end{array}\right]$.

To determine

(c)

To find:

The value of $\left|C\right|$ and make a conjecture based on the result of all parts.