Evaluate the determinant. $$\left| \begin{array} { l l l }
2 & 0 & 0 \
0 & 4 & 0 \
0 & 0 & 6
\end{array} \right|$$
A)46
B)48
C)50
D)47
E)49

Name: Evaluate the determinant. \[\left| \begin{array} { l l l } 2 & 0 & 0 \\ 0 & 4 & 0 \\ 0 & 0 & 6 \end{array} \right|\] A)46 B)48 C)50 D)47 E)49
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Question

Evaluate the determinant.​ $$\left| \begin{array} { l l l } 
2 & 0 & 0 \
0 & 4 & 0 \
0 & 0 & 6
\end{array} \right|$$ ​
A)46
B)48
C)50
D)47
E)49

Quizplus · Accepted Answer

The determinant of a diagonal matrix is the product of its diagonal elements. Thus, the determinant is $2 \times 4 \times 6 = 48$.

Evaluate the Determinant ∣200040006∣\left| \begin{array} { l l l } 2 & 0 & 0 \\0 & 4 & 0 \\0 & 0 & 6\end{array} \right|​200​040​006​​

Evaluate the Determinant $\left| \begin{array} { l l l } 2 & 0 & 0 \\0 & 4 & 0 \\0 & 0 & 6\end{array} \right|$