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Det(A)= product of eigen values = 4.

Det (B)= det(A^4) -5^4 det(A^2) + 5^4 = -9119

Option B and D is eliminated.

trace(A+ B)=trace(A) + trace (B)

Trace of any matrix is equal to the sum of the eigen values . So, trace(A)= 0  and trace (B)=4 So , 0+4=4;

C  is ans.

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