1. The problem statement, all variables and given/known data Is the following matrix diagonalizable in R? [ 2 1 0 ] [ 1 3 -1 ] [ -1 2 3 ] 2. Relevant equations 3. The attempt at a solution I've checked my work and found one eigenvalue = 2, with the corresponding eigenvector = [1, 0, 1]. My question is -- Because I have one eigenvector, can I conclude that this matrix is diagonalizable in R? If I had two eigenvalues could I say it was diagonalizable in R and R2, or just R2?