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(a) show that if the transpose of A equals -A, and n is odd, then the determinant of A is 0.

(b) show that if (A*A)+I=0, then n must be even.

(c) if all the values of A are either 1 or -1, show that the determinant of A is divisible by (2^n-1).

these are hard questions, I have no clue of to even start them...a solution to any of the questions will be appreciated !

thanks