Solve for the given letter.
-$$\left| \begin{array} { l l }
8 & x \
4 & 4
\end{array} \right| = 8$$
A)-6
B)-4
C)6
D)4

Question

Solve for the given letter.
-$$\left| \begin{array} { l l } 
8 & x \
4 & 4
\end{array} \right| = 8$$
A)-6
B)-4
C)6
D)4

Quizplus · Accepted Answer

The determinant of a 2x2 matrix is calculated as ad - bc. Here, a = 8, b = x, c = 4, and d = 4. So, the determinant is (8*4) - (4*x) = 32 - 4x. Setting this equal to 8 (the given determinant value), we get 32 - 4x = 8. Solving for x, we subtract 32 from both sides to get -4x = -24, and then divide by -4 to find x = 6.

Solve for the Given Letter ∣8x44∣=8\left| \begin{array} { l l } 8 & x \\4 & 4\end{array} \right| = 8​84​x4​​=8

Solve for the Given Letter $\left| \begin{array} { l l } 8 & x \\4 & 4\end{array} \right| = 8$