If $A$ and $B$ are two non-zero $n \times n$ matrices such that $A ^ { 2 } + B = A ^ { 2 } B$, then (1) $A B = I$ (2) $A ^ { 2 } B = I$ (3) $A ^ { 2 } = I$ or $B = I$ (4) $A ^ { 2 } B = B A ^ { 2 }$
If $A$ and $B$ are two non-zero $n \times n$ matrices such that $A ^ { 2 } + B = A ^ { 2 } B$, then\\
(1) $A B = I$\\
(2) $A ^ { 2 } B = I$\\
(3) $A ^ { 2 } = I$ or $B = I$\\
(4) $A ^ { 2 } B = B A ^ { 2 }$