Use the matrix capabilities of a graphing utility to find the determinant of the matrix $$\left[ \begin{array} { c c c }
16 & 24 & 8 \
0 & 40 & - 16 \
0 & 0 & - 16
\end{array} \right]$$ .
A)-1,024
B)0
C) $- 10,240$
D)-2,560
E) $15,360$

Question

Use the matrix capabilities of a graphing utility to find the determinant of the matrix $$\left[ \begin{array} { c c c } 
16 & 24 & 8 \
0 & 40 & - 16 \
0 & 0 & - 16
\end{array} \right]$$ .
A)-1,024
B)0
C) $- 10,240$
D)-2,560
E) $15,360$

Quizplus · Accepted Answer

Using a graphing utility to find the determinant of the matrix:
1. Enter the matrix into the calculator by going to [MATRIX] -> [EDIT] -> choose a matrix (e.g. matrix A) -> enter the entries of the matrix.
2. Go to [2nd] -> [MATRIX] -> [MATH] -> [det] -> choose the matrix (e.g. matrix A) -> press [ENTER].
The determinant of the matrix should be calculated and displayed on the screen.
In this case, the determinant is equal to 11ea99db_b2f5_4f9e_94ac_37e6c15a3577_TB4590_11, which is answer choice C.

Use the Matrix Capabilities of a Graphing Utility to Find [16248040−1600−16]\left[ \begin{array} { c c c } 16 & 24 & 8 \\0 & 40 & - 16 \\0 & 0 & - 16\end{array} \right]​1600​24400​8−16−16​​

Use the Matrix Capabilities of a Graphing Utility to Find $\left[ \begin{array} { c c c } 16 & 24 & 8 \\0 & 40 & - 16 \\0 & 0 & - 16\end{array} \right]$