\text { Calculate the matrix of cofactors for the coefficient matrix } A=\left(\begin{array}{ccc}

36 & -16 & 0 \\

-16 & 28 & -12 \\

0 & -12 & 12

\end{array}\right) \text {. } \text { Use the information above to find the inverse matrix } A^{-1} \text {, employing the method of cofactors. } Use your answer from the previous part to solve the matrix equation \left(\begin{array}{ccc}

36 & -16 & 0 \\

-16 & 28 & -12 \\

0 & -12 & 12

\end{array}\right)\left(\begin{array}{l}

i_{1} \\

i_{2} \\

i_{3}

\end{array}\right)=\left(\begin{array}{c}

9 / 2 \\

6 \\

3 / 2

\end{array}\right) Enter your answer as a column vector using the vector/matrix palette tool. Give exact answers (not decimals). \left(\begin{array}{l}

i_{1} \\

i_{2} \\

i_{3}

\end{array}\right)=