Question - Matrix Method for Counting Battery Production

The question asks to find the number P of batteries in a certain box out of a total Q using a matrix method. This is a mathematical problem involving systems of equations that can be expressed in matrix form.

Let the number of batteries on Monday be M and on Tuesday be T. We have:

M = 960

T = 1016

Assuming there is a linear relationship between the days and the number of batteries, we can express this as a system of equations, with x representing the constant difference in daily production, and P being the production on an unknown day (using a 0-based index for days where Monday is day 0):

M = P + 0*x

T = P + 1*x

We can then solve for P and x using matrix operations:

\[ \begin{bmatrix}1 & 0\\1 & 1\end{bmatrix} * \begin{bmatrix}P\\x\end{bmatrix} = \begin{bmatrix}960\\1016\end{bmatrix} \]

To find the values of P and x, we can use matrix inversion or other methods:

\[ \begin{bmatrix}P\\x\end{bmatrix} = \begin{bmatrix}1 & 0\\1 & 1\end{bmatrix}^{-1} * \begin{bmatrix}960\\1016\end{bmatrix} \]

By finding the inverse of the coefficient matrix and multiplying it by the production matrix, we can find P. However, the question lacks sufficient information to calculate an exact answer without additional context or assumptions about the pattern of battery production.