Are the following matrices diagonalizable:
I think neither are diagonalizable because they don't have at least two linearly independent eigenvectors. Am I correct?
To diagonalize a matrix, I would first find the eigenvectors. The three eigenvectors $\displaystyle v_1, v_2, v_3$ will form the three columns(c1,c2,c3) of the matrix $\displaystyle P$.
If P is invertible , then the matrix given by $\displaystyle P^{-1} A P = D$ is the diagonal matrix