(Solved): Use the matrices \( A \) and \( B \) given below to complete the following. Enter all answers in ex ...

Use the matrices \( A \) and \( B \) given below to complete the following. Enter all answers in exact, reduced form. \[ A=\left[\begin{array}{cccc} w & -1 & 4 & v \\ 11 & y & 11 & 7 \\ -8 & -9 & r & -14 \end{array}\right] \quad B=\left[\begin{array}{cccc} 0 & 16 & 4 & -4 \\ -2 & -12 & -6 & 3 \\ -5 & 0 & n & 0 \\ 5 & -9 & -15 & 9 \end{array}\right] \] (a) If \( E=A B \), determine the following. \[ e_{33}= \] \[ e_{13}= \] \[ e_{22}= \] (b) Find the value of each variable given \( C=\left[\begin{array}{cccc}17 & -115 & -123 & -1 \\ -16 & 137 & -71 & -64 \\ -47 & 106 & 234 & 33\end{array}\right] \) and \( C=A B \). \( \begin{array}{lll}n= & q= & r= \\ v= & w= & y=\end{array} \)