Question: 1. Is 1 = 4 an eigenvalue of the matrix A? If so, find a basis for the corresponding eigenspace. A = NN - L

1. Is 1 = 4 an eigenvalue of the matrix A? If so, find a basis for the corresponding eigenspace. A = NN - L w w 0 2. Is UN an eigenvector for the matrix B? If so, find the corresponding eigenvalue. WN Na - U B = 2 3. Find all eigenvectors, and bases for each eigenspace, for the matrix C. Is this matrix diago- nalizable? C= ONN dow NON 4. Let A E Mnxn be a matrix with n distinct eigenvalues (71, 12, ..., An) . Prove that det ( A ) = 11 . 12 . .. . An Hint: Is the matrix A is diagonalizable

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