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9.1 Eigenvalues and Eigenvectors - Problems

  1. Use the power method to find the dominant eigenpair for the transpose of the matrix

    matrix A

    which was used in problem 6 of Chapter 7. Give your solution accurate to two decimal places.

  2. Use the power method to find the dominant eigenpair for the transpose of the matrix

    matrix A

    which was used in problem 7 of Chapter 7. Give your solution accurate to two decimal places.

  3. Use the power method to find the dominant eigenpair for matrix A

  4. Use the power method to find the dominant eigenpair for matrix A

  5. Use the characteristic equation to find all the eigenvalues of matrix A and a corresponding eigenvector for each.

  6. Use the characteristic equation to find all the eigenvalues of matrix A and a corresponding eigenvector for each.

  7. Use the characteristic equation to find all the eigenvalues of matrix A and a corresponding eigenvector for each.

  8. If column vector is an eigenvector corresponding to lambda =5 find 3 more eigenvectors that correspond to lambda =5

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Updated: September 18, 2000

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