Let \(\mathbb {F}\) be a finite field with \(q\) elements. Determine the number of \(2\times 2\) nilpotent matrices with entries from \(\mathbb {F}\).
Question
Math 6310 • Algebra
Fall 2014 • Question 3
Question
Fall 2014 • Question 3
Let \(\mathbb {F}\) be a finite field with \(q\) elements. Determine the number of \(2\times 2\) nilpotent matrices with entries from \(\mathbb {F}\).