(Solved): Find the characteristic equation, the eigenvalues, and bases for the eigenspaces of the following m ...

Find the characteristic equation, the eigenvalues, and bases for the eigenspaces of the following matrix: \[ A=\left[\begin{array}{ccc} 7 & 4 & -10 \\ 0 & -3 & 0 \\ 1 & 0 & -4 \end{array}\right] \] The characteristic equation is \[ =0 \] NOTE: Enter the eigenvalues in increasing order. Eigenvalues Bases for the eigenspaces \[ \lambda= \] \[ \lambda= \]