Two $2 \times 2$ square matrices $A , B$ satisfy $A ^ { 2 } = E , B ^ { 2 } = B$. Which of the following statements in the given options are always true? (Note: $E$ is the identity matrix.) [3 points]
Given Options\\
ㄱ. If matrix $B$ has an inverse matrix, then $B = E$.\\
ㄴ. $( E - A ) ^ { 5 } = 2 ^ { 4 } ( E - A )$\\
ㄷ. $( E - A B A ) ^ { 2 } = E - A B A$\\
(1) ㄱ\\
(2) ㄷ\\
(3) ㄱ, ㄴ\\
(4) ㄴ, ㄷ\\
(5) ㄱ, ㄴ, ㄷ