Chapter 3.CR, Problem 23CR

To determine

a)

The determinant of matrix $A=\left[\begin{array}{cc}-1& 2\\ 0& 1\end{array}\right]$.

To determine

b)

The determinant of matrix $B=\left[\begin{array}{cc}3& 4\\ 2& 1\end{array}\right]$.

To determine

c)

The product $AB$ for the matrix $A=\left[\begin{array}{cc}-1& 2\\ 0& 1\end{array}\right]$, $B=\left[\begin{array}{cc}3& 4\\ 2& 1\end{array}\right]$.

To determine

d)

The determinant of $AB$ for the matrix $A=\left[\begin{array}{cc}-1& 2\\ 0& 1\end{array}\right]$, $B=\left[\begin{array}{cc}3& 4\\ 2& 1\end{array}\right]$ and verify $\left|A\right|\left|B\right|=\left|AB\right|$.