In: Advanced Math
Diagonalize the matrix (That is, find a diagonal matrix D and an invertible matrix P such that
A=PDP−1.
(Do not find the inverse of P). Describe all eigenspaces of A and state the geometric and algebraic multiplicity of each eigenvalue.
A=
| -1 | 3 | 0 |
| -4 | 6 | 0 |
| 0 | 0 | 1 |