[Math] Does the same determinant make two matrices equal to each other

Question

Does the same determinant make two matrices equal to each other?

If I have:

Find all values of $x$ that make

$$\begin{pmatrix}2 & -1 &4\\3 & 0 & 5\\4 & 1 & 6\end{pmatrix}=\begin{pmatrix} x & 4\\5 & x\end{pmatrix} $$

Would I calculate and equate the determinants of both matrices to solve this problem?

Edit: Below is the exact question. Do the style of brackets refer to the determinants?

Answer 1

That style of brackets usually refers to the matrix itself, rather than the determinant. The question either uses an unusual style, or is in error.