Trace of the nth power of a 2-by-2 matrix 

Trace of the nth power of a 2-by-2 matrix
               
               
-2 
-3 
-4 
-5 
-2  -6 
-7  14  -7 
-16  20  -8 

Let A be a 2-by-2 matrix.
Let m = the determinant of A.
Let t = the trace of A.
Then



Reference: Math. Gaz. 71:458 p.295, 70:454 (1986) p.269.