Chapter 11, Problem 47RE

To determine

To calculate: the value of each determinant of the given matrices.

Answer to Problem 47RE

Solution: $108$

Explanation of Solution

Determinant of matrix is given by:-

  $\begin{array}{l}=\left|\begin{array}{ccc}\begin{array}{l}1\\ -1\\ 4\end{array}& \begin{array}{l}4\\ 2\\ 1\end{array}& \begin{array}{l}0\\ 6\\ 3\end{array}\end{array}\right|\\ =1\times (2\times 3-1\times 6)-4\times (-1\times 3-4\times 6)+0(-1\times 1-4\times 2)\\ =1(6-1)-4(-3-24)+0\\ =-4\times -27\\ =108\end{array}$