Given that $\vec{v}_1=\left[\begin{array}{c} 3\cr 2 \end{array}\right]$ and $\vec{v}_2=\left[\begin{array}{c} 2\cr 1 \end{array}\right]$ are eigenvectors of the matrix $$A=\left[\begin{array}{cc} 23 &-42\cr 14 &-26 \end{array}\right]$$ determine the corresponding eigenvalues.

$\lambda_1 =$ .
$\lambda_2 =$ .