Vectors, matrices, scalars

Let's represent the outcomes of the rock-paper-scissors game in the form of a table (in other words, a matrix). The rows of the table correspond to the possible moves of the first player, and the columns correspond the possible moves of the second player:

$$\begin {array} {c c r} & \text{Second player}\\ \text{First player} & \begin{array}{|c | c | c | c|} \hline & \text{ Rock } & \text{ Paper } & \text{ Scissors } \\\hline \text{Rock}\quad & 0 & -1 & 1 \\\hline \text{Paper}\quad & 1 & 0 & -1 \\\hline \text{Scissors}\quad & -1 & 1 & 0 \\\hline \end{array} & \end{array}$$Here in the table, $0$ denotes a draw, $1$ denotes a victory of the first player and $-1$ denotes a victory of the second player. If the entries of that table form a $3 \times 3$ matrix

$$A = \begin{bmatrix} a_{ij} & \cdots \\ \vdots & \ddots \end{bmatrix} \text{with} \quad i =1,2,3\quad \text{and} \quad j=1,2,3,$$then which of the outcomes of a rock-paper-scissors game corresponds to the entry $a_{23}$?

Tip: Do you remember the correct order of an element's indices in a matrix?