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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6310 • Algebra

Fall 2007 • Question 5

Question

Math 6310 • Algebra Fall 2007 • Question 5

Let \(T\) be a complex square matrix such that \(T^{2007}=I\), where \(I\) is the identity matrix. Show that \(T\) can be diagonalized.

Raw LaTeX

Let \(T\) be a complex square matrix such that \(T^{2007}=I\), where \(I\) is the identity matrix.
Show that \(T\) can be diagonalized.

Topic Tags

Matrix Similarity, Jordan Forms, and Finite-Order Diagonalization