(Solved): Consider the upper triangular matrix A. A = [1 2 21 034 001 On your own paper, answer each of the ...

Consider the upper triangular matrix A. A = [1 2 21 034 001 On your own paper, answer each of the following questions. a. Find the eigenvalues without a calculator and without finding the characteristic polynomial. Remember, it is easy to list the eigenvalues for a triangular matrix. b. Find the matrix I – A. c. Find the characteristic polynomial. Leave it in factored form. d. Plug each eigenvalue into the matrix I - A, and reduce fully to RREF. Remember to augment it with zeros. Write the solutions as vectors. These are the eigenvectors associated with each eigenvalue. This should be done by hand and not copied from the online calculator. e. Answer the multiple choice question below. e. Answer the multiple choice question below. The matrix A cannot be diagonalized. Why? When you are finished working out the problem and submitting this quiz, upload a PDF of your complete solution to the assignment folder. a) The matrix has no inverse and so it can't be diagonalized. Ob) The number of eigenvectors does not match the multiplicity of the eigenvectors. c) There are no eigenvectors. d) There are only two eigenvalues and you need three to be able to diagonalize. e) It can be diagonalized.