Show that if a 3 by 3 matrix with entries in \(\mathbb {Q}\) satisfies \(A^8=I\), then it satisfies \(A^4=I\).
Question
Math 6310 • Algebra
Fall 2001 • Question 10
Question
Fall 2001 • Question 10
Show that if a 3 by 3 matrix with entries in \(\mathbb {Q}\) satisfies \(A^8=I\), then it satisfies \(A^4=I\).