(Solved): Pick the right answer The values of \( \mathrm{k} \) for which the matri ...

Pick the right answer

???????

The values of \( \mathrm{k} \) for which the matrix \( \left[\begin{array}{cc}2 & k+2 \\ k^{2} & -1\end{array}\right] \) is symmetric are: \[ \begin{array}{l} \mathrm{k}=2,-1 \\ \mathrm{k}=1,-2 \\ \mathrm{k}=-1,1 \\ \mathrm{k}=0,1 \end{array} \] The inverse of the matrix \( A=\left[\begin{array}{cc}-2 & 6 \\ 3 & -9\end{array}\right] \) is \[ \left[\begin{array}{cc} 2 & 1 \\ 1 & -4 \end{array}\right] \] Does not exist. \[ \begin{array}{l} {\left[\begin{array}{cc} -2 & 6 \\ 0 & -1 \end{array}\right]} \\ {\left[\begin{array}{cc} -9 & 6 \\ 3 & -2 \end{array}\right]} \end{array} \] For what value of \( K \), do the simultaneous equations \( 2 x+3 y=1,4 x+6 y=K \), have infinite solutions: \[ \begin{array}{l} k=3 \\ k=4 \\ k=2 \\ k=-1 \end{array} \]