Question: Answer the following questions and please write the process clearly. QUESTION 7 Suppose a square matrix A has an eigenvalue 1 = 0.2. What is

Answer the following questions and please write the process clearly.

Answer the following questions and please write the process clearly. QUESTION 7

QUESTION 7 Suppose a square matrix A has an eigenvalue 1 = 0.2. What is the corresponding eigenvalue for the matrix (I - A)? QUESTION 8 Consider a square matrix A and its transpose A. Which of the following statements concerning the relationship between their eigenvalues and eigenvectors is True? A and A have the same set of eigenvalues, but different set of eigenvectors. A and At have the same set of eigenvalues, but their eigenvectors will be the transposes of each other. A and A will have eigenvalues which are the reciprocals of each other and share the same set of eigenvectors. There is no relationship between the eigenvalues and eigenvectors of A and AT

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