Question

A=\left[\begin{array}{ccc} -6 & -2 & 3 \\ c & a & 4 \\ -3 & -6 & b \end{array}\right] Find a, b, k. k + 0 is an eigenvalue with

corresponding eigenvector (1, 2, 3) of

Fig: 1

Fig: 2

Fig: 3