More fun in 2016, Part 17

Algebra Level 5

How many real \(2016\times 2016\) matrices \(A\) are there such that \(A^{2016}\neq\) 0 while \(A^{2017}=\) 0, where 0 represents the zero matrix.

Enter 666 if you come to the conclusion that infinitely many such matrices \(A\) exist.

Hint: Think about the minimal polynomial of \(A\).

×

Problem Loading...

Note Loading...

Set Loading...