Given the Characteristic Polynomial of a Diagonalizable Matrix, Find the Size of the Matrix, Dimension of Eigenspace
Suppose that $A$ is a diagonalizable matrix with characteristic polynomial
(a) Find the size of the matrix $A$.
(b) Find the dimension of $E_4$, the eigenspace corresponding to the eigenvalue $\lambda=4$.
(c) Find the dimension of the kernel(nullspace) of $A$.
(Stanford University Linear Algebra Exam)Add to solve later