Question: Let A and B be 2 2 matrices. (a) Does det(A + B) = det(A) + det(B)? (b) Does det(AB) = det(A) det(B)? (c)

Let A and B be 2 × 2 matrices.
(a) Does det(A + B) = det(A) + det(B)?
(b) Does det(AB) = det(A) det(B)?
(c) Does det(AB) = det(BA)?
Justify your answers.

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