For a 2×22 \times 22×2 matrix A=(3412)A = \begin{pmatrix} 3 & 4 \\ 1 & 2 \end{pmatrix}A=(3142), what is the characteristic equation det(A−λI)=0\det(A - \lambda I) = 0det(A−λI)=0?
λ2−5λ+2=0\lambda^2 - 5\lambda + 2 = 0λ2−5λ+2=0
λ2+5λ+2=0\lambda^2 + 5\lambda + 2 = 0λ2+5λ+2=0
λ2+5λ−2=0\lambda^2 + 5\lambda - 2 = 0λ2+5λ−2=0
λ2−5λ−2=0\lambda^2 - 5\lambda - 2 = 0λ2−5λ−2=0