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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6310 • Algebra

Fall 1994 • Question 2

Question

Math 6310 • Algebra Fall 1994 • Question 2

If a square matrix \(M\) of complex numbers satisfies the equation \[ M^{1994}=\text {Identity}, \] then \(M\) is diagonalizable.

Raw LaTeX

If a square matrix \(M\) of complex numbers satisfies the equation
\[
  M^{1994}=\text{Identity},
\]
then \(M\) is diagonalizable.

Topic Tags

Matrix Similarity, Jordan Forms, and Finite-Order Diagonalization