Differential Equations and Linear Algebra, 6.2: Diagonalizing a Matrix

SOLVED: Find the eigenvalues of the matrix and determine whether there is a sufficient number to guarantee that the matrix is diagonalizable. (Recall that the matrix may be diagonalizable even though it is not guaranteed to be diagonalizable by the theorem shown below:) Sufficient Condition for Diagonalization If an n matrix A has n distinct eigenvalues then the corresponding eigenvectors are linearly independent and A is diagonalizable. [33] Find the eigenvalues. (Enter your answers as comma-se