Which of the Following $4 \times 4$ Upper Triangular Matrices Has a Determinant Equal to -8

question 2

Multiple Choice

Which of the following $4 \times 4$ upper triangular matrices has a determinant equal to -8. $$A = \left[ \begin{array} { c c c c } - 2 & - 7 & - 7 & - 7 \\0 & - 2 & - 7 & - 7 \\0 & 0 & 1 & - 7 \\0 & 0 & 0 & - 2\end{array} \right]$$ $B = \left[ \begin{array} { c c c c } - 1 & - 7 & - 7 & - 7 \\0 & - 1 & - 7 & - 7 \\0 & 0 & 3 & - 7 \\0 & 0 & 0 & 4\end{array} \right]$ $C = \left[ \begin{array} { c c c c } 5 & - 7 & - 7 & - 7 \\0 & - 2 & - 7 & - 7 \\0 & 0 & - 2 & - 7 \\0 & 0 & 0 & 1\end{array} \right]$ $D = \left[ \begin{array} { c c c c } 5 & - 7 & - 7 & - 7 \\0 & - 3 & - 7 & - 7 \\0 & 0 & - 2 & - 7 \\0 & 0 & 0 & 2\end{array} \right]$ $E = \left[ \begin{array} { c c c c } - 2 & - 7 & - 7 & - 7 \\0 & - 4 & - 7 & - 7 \\0 & 0 & 1 & - 7 \\0 & 0 & 0 & 2\end{array} \right]$

• A)matrix A
• B)matrix D
• C)matrix C
• D)matrix E
• E)matrix B

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