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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6310 • Algebra

Spring 2014 • Question 5

Question

Math 6310 • Algebra Spring 2014 • Question 5

Determine all \(3\times 3\) matrices \(M\) with entries from \(\mathbb {Q}\) such that \(M^8=I\) and \(M^4\ne I\).

Raw LaTeX

Determine all \(3\times 3\) matrices \(M\) with entries from \(\mathbb{Q}\) such that \(M^8=I\) and
\(M^4\ne I\).

Topic Tags

Matrix Similarity, Jordan Forms, and Finite-Order Diagonalization