Question: For the matrix A = [1 -1 0] |-1 2 1| [0 -1 1] 1. Solve the characteristic equation for A and find the eigenvalues

For the matrix A = [1 -1 0] |-1 2 1| [0 -1 1] 1. Solve the characteristic equation for A and find the eigenvalues of A . ls matrix A diagonalizable or not? . Solve the system (A M)x = 0 for every value of N to find the corresponding eigenvector . Verify your results from 1 and 3 by showing that Axi = Aixi , i = 1,2, and 3 . Find the matrix of eigenvectors X and its inverse . Verify that the product X'lAX is a diagonal matrix. What are the diagonal elements of the product matrix

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