cmi-entrance 2018 Q10

cmi-entrance · India · pgmath 4 marks Not Maths

Let $A$ be a non-zero $4 \times 4$ complex matrix such that $A^2 = 0$. What is the largest possible rank of $A$?

Let $A$ be a non-zero $4 \times 4$ complex matrix such that $A^2 = 0$. What is the largest possible rank of $A$?