Use the matrix capabilities of a graphing utility to evaluate the determinant. $$\left[ \begin{array} { c c c }
3 & 1 & - 6 \
0 & - 6 & 9 \
1 & 1 & 1
\end{array} \right]$$
A)-72
B)-71
C)-70
D)-74
E)-73

Question

Use the matrix capabilities of a graphing utility to evaluate the determinant.​ $$\left[ \begin{array} { c c c } 
3 & 1 & - 6 \
0 & - 6 & 9 \
1 & 1 & 1
\end{array} \right]$$ ​
A)-72
B)-71
C)-70
D)-74
E)-73

Quizplus · Accepted Answer

The determinant of the given matrix can be calculated using the formula for a 3x3 matrix or by using a graphing utility. The determinant is $-72$.

Use the Matrix Capabilities of a Graphing Utility to Evaluate [31−60−69111]\left[ \begin{array} { c c c } 3 & 1 & - 6 \\0 & - 6 & 9 \\1 & 1 & 1\end{array} \right]​301​1−61​−691​​

Use the Matrix Capabilities of a Graphing Utility to Evaluate $\left[ \begin{array} { c c c } 3 & 1 & - 6 \\0 & - 6 & 9 \\1 & 1 & 1\end{array} \right]$