Skip to content

Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6310 • Algebra

Fall 2012 • Question 4

Question

Math 6310 • Algebra Fall 2012 • Question 4

Let \(M\) be a \(5\times 5\) matrix with real entries. Suppose \(M\) has finite order and \(\det (M-I_5)\ne 0\). Find \(\det (M)\).

Raw LaTeX

Let \(M\) be a \(5\times 5\) matrix with real entries. Suppose \(M\) has finite order and
\(\det(M-I_5)\ne 0\). Find \(\det(M)\).

Topic Tags

Matrix Similarity, Jordan Forms, and Finite-Order Diagonalization