Question

Determine if the matrices below are nilpotent and/or idempotent.
a.) I an identity matrix
b.) 0 any square zero matrix
c.) 2 4
-1 -2
d.) -3 (3/2)
-8 4 
e.) 1 1 1
(1/3) 1 1 1
1 1 1
f.) I-A, where A is any idempotent matrix.