If \(\begin{bmatrix}2&3\\5&7\end{bmatrix}\begin{bmatrix}1&-3\\-2&4\end{bmatrix} = \begin{bmatrix}-4&6\\-9&x\end{bmatrix}\), then the value of x is
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 13
The element x is in the second row and second column of the product. It is found from the second row of the first matrix and the second column of the second matrix.
\(x = 5(-3) + 7(4)\)
\(x = -15 + 28 = 13\)