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Question: If \(\left| \begin{matrix} 1 & 2 & 3 \\ 2 & x & 3 \\ 3 & 4 & 5 \end{matrix} \right| = 0,\) then x =...

If ∣1232x3345∣=0,\left| \begin{matrix} 1 & 2 & 3 \\ 2 & x & 3 \\ 3 & 4 & 5 \end{matrix} \right| = 0, then x =

A

– 5/2

B

–2/5

C

5/2

D

2/5

Answer

5/2

Explanation

Solution

Since x=52x = \frac{5}{2} satisfies the given determinant.