Solve for x. $$\left| \begin{array} { l l }
x & 3 \
1 & x
\end{array} \right| = 6$$
A) $x = 3$
B) $x = \pm 2$
C) $x = \pm 3$
D) $x = - 4$
E) $x = \pm 4$

Name: Solve for x. \[\left| \begin{array} { l l } x & 3 \\ 1 & x \end{array} \right| = 6\] A) $x = 3$ B) $x = \pm 2$ C) $x = \pm 3$ D) $x = - 4$ E) $x = \pm 4$
Brand: Quizplus
Rating: 4.9 (38 reviews)

Question

Solve for x.​ $$\left| \begin{array} { l l } 
x & 3 \
1 & x
\end{array} \right| = 6$$ ​
A) $x = 3$
B) $x = \pm 2$
C) $x = \pm 3$
D) $x = - 4$
E) $x = \pm 4$

Quizplus · Accepted Answer

The determinant of the matrix is $x^2 - 3$. Setting this equal to 6 and solving for x gives $x = \pm 3$.

Solve for X ∣x31x∣=6\left| \begin{array} { l l } x & 3 \\1 & x\end{array} \right| = 6​x1​3x​​=6

Solve for X $\left| \begin{array} { l l } x & 3 \\1 & x\end{array} \right| = 6$