Which of the following statements is not true? Similar matrices a and B have exa

Question

Which of the following statements is not true? Similar matrices a and B have exactly the same determinant. Similar matrices a and B have exactly the same eigenvectors. Similar matrices a and B have the same characteristic polynomial. Similar matrices a and B have exactly the same eigenvectors. none of the above Let the n Times n matrix a have eigenvectors (not necessarily distinct). Then det(a) = True False Every real matrix a with eigenvectors as in problem 8 is similar to the diagonal matrix D = diag True False Eigenvectors corresponding to distinct eigenvectors for any n Times n matrix a are always linearly independent. True False

Explanation / Answer

e)none of the above 8 true 9 true 10 true

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