If \(A=\begin{bmatrix}x&2\\3&4\end{bmatrix}\) and \(B=\begin{bmatrix}5&2\\3&4\end{bmatrix}\) and \(A=B\), what is the value of \(x\)?

Correct answer: 5

For two equal matrices, their corresponding entries are equal. Here the (1,1) entries are \(x\) and \(5\), so \(x=5\). Option C (4) might mislead since 4 appears in the (2,2) position, but equality demands comparing the same positions, not different ones. Exam tip: always equate entries at the same row and column indices when matrices are equal (compare (i,j) with (i,j)).