Determine, up to conjugacy, all \(4\times 4\) matrices \(M\) over \(\mathbb {Q}\) with \(M^5=-M^3\) and \(M^3\ne 0\).
Question
Math 6310 • Algebra
Fall 2013 • Question 4
Question
Fall 2013 • Question 4
Determine, up to conjugacy, all \(4\times 4\) matrices \(M\) over \(\mathbb {Q}\) with \(M^5=-M^3\) and \(M^3\ne 0\).