1. The problem statement, all variables and given/known data Consider the following matrix A (whose 2nd and 3rd rows are not given), and vector x. A = 4 4 2 * * * * * * x = 2 -1 10 Given that x is an eigenvector of the matrix A, what is the corresponding eigenvalue? 2. Relevant equations 3. The attempt at a solution 4−λ 4 2 a b−λ c d e f−λ= det (λI3-3) = −λ3+b+f+4×λ2+4×a−4×b+2×d+c×e−b×f−4×f×λ+−2×b×d+4×c×d+2×a×e−4×c×e−4×a×f+4×b×f Don't know if I'm on the right track. Trying to find the roots of this characteristic equation, but there's so many unknowns.