Matrix Diagonalization
Selected Homework 7. Determine whether or not each of the following matrices is diagonalizable. In each case, if A is diagonalizable, then find the corresponding matrix P of eigenvectors and use it to diagonalize A.
![matrix([[1, 0, 0], [0, 1, 1], [0, 1, 1]]), matrix([[2, 0, -2], [0, 3, 0], [0, 0, 3]]), matrix([[19, -9, -6], [25, -11, -9], [17, -9, -4]]), matrix([[-1, 4, -2], [-3, 4, 0], [-3, 1, 3]])](images/Diagonalization2.gif)
![matrix([[5, 0, 0], [1, 5, 0], [0, 1, 5]]), matrix([[0, 0, 0], [0, 0, 0], [3, 0, 1]]), matrix([[-2, 0, 0, 0], [0, -2, 0, 0], [0, 0, 3, 0], [0, 0, 1, 3]]), matrix([[-2, 0, 0, 0], [0, -2, 5, -5], [0, 0, 3...](images/Diagonalization3.gif)
Matrix Diagonalization
Selected Homework 7. Determine whether or not each of the following matrices is diagonalizable. In each case, if A is diagonalizable, then find the corresponding matrix P of eigenvectors and use it to diagonalize A.