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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6310 • Algebra

Fall 2013 • Question 5

Question

Math 6310 • Algebra Fall 2013 • Question 5

Let \(M\) be an \(n\times n\) matrix over \(\mathbb {Q}\) in which each entry is 1. What is the Jordan form of \(M\)?

Raw LaTeX

Let \(M\) be an \(n\times n\) matrix over \(\mathbb{Q}\) in which each entry is 1. What is the Jordan
form of \(M\)?

Topic Tags

Matrix Similarity, Jordan Forms, and Finite-Order Diagonalization