91Ó°ÊÓ

Compute the products. Some of these may be undefined.Exercises marked I should be done using technology. The others should be done two ways: by hand and by using technology where possible. \(\left[\begin{array}{ll}1 & -1 \\ 1 & -1\end{array}\right]\left[\begin{array}{ll}3 & -3 \\ 5 & -7\end{array}\right]\)

Decide whether the game is strictly determined. If it is, give the players'optimal pure strategies and the value of the game. $$ \begin{array}{r} \mathbf{B} \\ p & q & r \\ a & {\left[\begin{array}{rrr} 2 & 0 & -2 \\ -1 & 3 & 0 \end{array}\right]} \end{array} $$

$$ \left[\begin{array}{rrr} 1 & 1 & 1 \\ 1 & 0 & 2 \\ 1 & -1 & 1 \end{array}\right] $$

Compute the products. Some of these may be undefined.Exercises marked I should be done using technology. The others should be done two ways: by hand and by using technology where possible. \(\left[\begin{array}{ll}0 & 1 \\ 0 & 1\end{array}\right]\left[\begin{array}{rr}1 & 0 \\ 1 & -1\end{array}\right]\)

$$ \left[\begin{array}{lll} 1 & 2 & 3 \\ 0 & 2 & 3 \\ 1 & 0 & 1 \end{array}\right] $$

Decide whether the game is strictly determined. If it is, give the players'optimal pure strategies and the value of the game. $$ \begin{array}{rr} & \mathbf{B} \\ p & q & r \\ \mathbf{A} & a & {\left[\begin{array}{rrr} -2 & 1 & -3 \\ -2 & 3 & -2 \end{array}\right]} \end{array} $$

Compute the products. Some of these may be undefined.Exercises marked I should be done using technology. The others should be done two ways: by hand and by using technology where possible. \(\left[\begin{array}{ll}3 & -3 \\ 5 & -7\end{array}\right]\left[\begin{array}{ll}1 & -1 \\ 1 & -1\end{array}\right]\)

Compute the products. Some of these may be undefined.Exercises marked I should be done using technology. The others should be done two ways: by hand and by using technology where possible. \(\left[\begin{array}{ll}1 & -1 \\ 1 & -1\end{array}\right]\left[\begin{array}{ll}2 & 3 \\ 2 & 3\end{array}\right]\)

Decide whether the game is strictly determined. If it is, give the players'optimal pure strategies and the value of the game. $$ \begin{gathered} a & b & \multicolumn{1}{c} {c} \\ P & {\left[\begin{array}{llr} 1 & -1 & -5 \\ Q \\ 4 & -4 & 2 \\ R \\ S \end{array}\right.} & \left.\begin{array}{rrr} 3 & -3 & -10 \\ 5 & -5 & -4 \end{array}\right] \end{gathered} $$

$$ \left[\begin{array}{rrr} 1 & 1 & 1 \\ 1 & -1 & 0 \\ 1 & 2 & 3 \end{array}\right] $$